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Finding the Third Proportional to 38,305 and 57,499.50

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Solution

The third proportional to 38,305 and 57,499.50 is: 86,312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,305 : 57,499.50 = 57,499.50 : x
  2. Step 2: Convert to fraction form
    38,305/57,499.50 = 57,499.50/x
  3. Step 3: Cross multiply
    38,305x = 57,499.50 × 57,499.50
  4. Step 4: Simplify right side
    38,305x = 3,306,192,500.25
  5. Step 5: Solve for x
    x = 3,306,192,500.25/38,305
  6. Step 6: Final answer
    x = 86,312.30

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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.