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Finding the Third Proportional to 37,039.25 and 58,839

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Solution

The third proportional to 37,039.25 and 58,839 is: 93,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,039.25 : 58,839 = 58,839 : x
  2. Step 2: Convert to fraction form
    37,039.25/58,839 = 58,839/x
  3. Step 3: Cross multiply
    37,039.25x = 58,839 × 58,839
  4. Step 4: Simplify right side
    37,039.25x = 3,462,027,921
  5. Step 5: Solve for x
    x = 3,462,027,921/37,039.25
  6. Step 6: Final answer
    x = 93,469.17

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.