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Finding the Third Proportional to 37,882.13 and 59,428.69

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Solution

The third proportional to 37,882.13 and 59,428.69 is: 93,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,882.13 : 59,428.69 = 59,428.69 : x
  2. Step 2: Convert to fraction form
    37,882.13/59,428.69 = 59,428.69/x
  3. Step 3: Cross multiply
    37,882.13x = 59,428.69 × 59,428.69
  4. Step 4: Simplify right side
    37,882.13x = 3,531,768,897.97
  5. Step 5: Solve for x
    x = 3,531,768,897.97/37,882.13
  6. Step 6: Final answer
    x = 93,230.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.