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Finding the Third Proportional to 38,206.50 and 57,309.75

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Solution

The third proportional to 38,206.50 and 57,309.75 is: 85,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.50 : 57,309.75 = 57,309.75 : x
  2. Step 2: Convert to fraction form
    38,206.50/57,309.75 = 57,309.75/x
  3. Step 3: Cross multiply
    38,206.50x = 57,309.75 × 57,309.75
  4. Step 4: Simplify right side
    38,206.50x = 3,284,407,445.06
  5. Step 5: Solve for x
    x = 3,284,407,445.06/38,206.50
  6. Step 6: Final answer
    x = 85,964.63

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.