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Finding the Third Proportional to 39,481 and 83,397

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Solution

The third proportional to 39,481 and 83,397 is: 176,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,481 : 83,397 = 83,397 : x
  2. Step 2: Convert to fraction form
    39,481/83,397 = 83,397/x
  3. Step 3: Cross multiply
    39,481x = 83,397 × 83,397
  4. Step 4: Simplify right side
    39,481x = 6,955,059,609
  5. Step 5: Solve for x
    x = 6,955,059,609/39,481
  6. Step 6: Final answer
    x = 176,162.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.