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Finding the Third Proportional to 15,997.13 and 37,371.38

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Solution

The third proportional to 15,997.13 and 37,371.38 is: 87,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.13 : 37,371.38 = 37,371.38 : x
  2. Step 2: Convert to fraction form
    15,997.13/37,371.38 = 37,371.38/x
  3. Step 3: Cross multiply
    15,997.13x = 37,371.38 × 37,371.38
  4. Step 4: Simplify right side
    15,997.13x = 1,396,619,669.39
  5. Step 5: Solve for x
    x = 1,396,619,669.39/15,997.13
  6. Step 6: Final answer
    x = 87,304.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.