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Finding the Third Proportional to 17,689 and 38,537

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Solution

The third proportional to 17,689 and 38,537 is: 83,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689 : 38,537 = 38,537 : x
  2. Step 2: Convert to fraction form
    17,689/38,537 = 38,537/x
  3. Step 3: Cross multiply
    17,689x = 38,537 × 38,537
  4. Step 4: Simplify right side
    17,689x = 1,485,100,369
  5. Step 5: Solve for x
    x = 1,485,100,369/17,689
  6. Step 6: Final answer
    x = 83,956.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.