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Finding the Third Proportional to 17,587.13 and 38,974.92

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Solution

The third proportional to 17,587.13 and 38,974.92 is: 86,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,587.13 : 38,974.92 = 38,974.92 : x
  2. Step 2: Convert to fraction form
    17,587.13/38,974.92 = 38,974.92/x
  3. Step 3: Cross multiply
    17,587.13x = 38,974.92 × 38,974.92
  4. Step 4: Simplify right side
    17,587.13x = 1,519,044,535.16
  5. Step 5: Solve for x
    x = 1,519,044,535.16/17,587.13
  6. Step 6: Final answer
    x = 86,372.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.