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Finding the Third Proportional to 39,729.38 and 87,301.13

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Solution

The third proportional to 39,729.38 and 87,301.13 is: 191,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,729.38 : 87,301.13 = 87,301.13 : x
  2. Step 2: Convert to fraction form
    39,729.38/87,301.13 = 87,301.13/x
  3. Step 3: Cross multiply
    39,729.38x = 87,301.13 × 87,301.13
  4. Step 4: Simplify right side
    39,729.38x = 7,621,486,426.27
  5. Step 5: Solve for x
    x = 7,621,486,426.27/39,729.38
  6. Step 6: Final answer
    x = 191,835.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.