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Finding the Third Proportional to 17,972 and 29,694

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Solution

The third proportional to 17,972 and 29,694 is: 49,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972 : 29,694 = 29,694 : x
  2. Step 2: Convert to fraction form
    17,972/29,694 = 29,694/x
  3. Step 3: Cross multiply
    17,972x = 29,694 × 29,694
  4. Step 4: Simplify right side
    17,972x = 881,733,636
  5. Step 5: Solve for x
    x = 881,733,636/17,972
  6. Step 6: Final answer
    x = 49,061.52

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.