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Finding the Third Proportional to 39,432 and 95,160

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Solution

The third proportional to 39,432 and 95,160 is: 229,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,432 : 95,160 = 95,160 : x
  2. Step 2: Convert to fraction form
    39,432/95,160 = 95,160/x
  3. Step 3: Cross multiply
    39,432x = 95,160 × 95,160
  4. Step 4: Simplify right side
    39,432x = 9,055,425,600
  5. Step 5: Solve for x
    x = 9,055,425,600/39,432
  6. Step 6: Final answer
    x = 229,646.62

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.