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Finding the Third Proportional to 20,086.13 and 38,349.75

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Solution

The third proportional to 20,086.13 and 38,349.75 is: 73,219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.13 : 38,349.75 = 38,349.75 : x
  2. Step 2: Convert to fraction form
    20,086.13/38,349.75 = 38,349.75/x
  3. Step 3: Cross multiply
    20,086.13x = 38,349.75 × 38,349.75
  4. Step 4: Simplify right side
    20,086.13x = 1,470,703,325.06
  5. Step 5: Solve for x
    x = 1,470,703,325.06/20,086.13
  6. Step 6: Final answer
    x = 73,219.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.