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Finding the Third Proportional to 15,147 and 32,694

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Solution

The third proportional to 15,147 and 32,694 is: 70,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147 : 32,694 = 32,694 : x
  2. Step 2: Convert to fraction form
    15,147/32,694 = 32,694/x
  3. Step 3: Cross multiply
    15,147x = 32,694 × 32,694
  4. Step 4: Simplify right side
    15,147x = 1,068,897,636
  5. Step 5: Solve for x
    x = 1,068,897,636/15,147
  6. Step 6: Final answer
    x = 70,568.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.