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Finding the Third Proportional to 17,689 and 37,909

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Solution

The third proportional to 17,689 and 37,909 is: 81,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689 : 37,909 = 37,909 : x
  2. Step 2: Convert to fraction form
    17,689/37,909 = 37,909/x
  3. Step 3: Cross multiply
    17,689x = 37,909 × 37,909
  4. Step 4: Simplify right side
    17,689x = 1,437,092,281
  5. Step 5: Solve for x
    x = 1,437,092,281/17,689
  6. Step 6: Final answer
    x = 81,242.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.