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Finding the Third Proportional to 37,243.13 and 87,839.44

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Solution

The third proportional to 37,243.13 and 87,839.44 is: 207,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243.13 : 87,839.44 = 87,839.44 : x
  2. Step 2: Convert to fraction form
    37,243.13/87,839.44 = 87,839.44/x
  3. Step 3: Cross multiply
    37,243.13x = 87,839.44 × 87,839.44
  4. Step 4: Simplify right side
    37,243.13x = 7,715,766,780.32
  5. Step 5: Solve for x
    x = 7,715,766,780.32/37,243.13
  6. Step 6: Final answer
    x = 207,172.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.