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Finding the Third Proportional to 17,092 and 38,566

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Solution

The third proportional to 17,092 and 38,566 is: 87,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092 : 38,566 = 38,566 : x
  2. Step 2: Convert to fraction form
    17,092/38,566 = 38,566/x
  3. Step 3: Cross multiply
    17,092x = 38,566 × 38,566
  4. Step 4: Simplify right side
    17,092x = 1,487,336,356
  5. Step 5: Solve for x
    x = 1,487,336,356/17,092
  6. Step 6: Final answer
    x = 87,019.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.