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Finding the Third Proportional to 37,508 and 58,062

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Solution

The third proportional to 37,508 and 58,062 is: 89,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,508 : 58,062 = 58,062 : x
  2. Step 2: Convert to fraction form
    37,508/58,062 = 58,062/x
  3. Step 3: Cross multiply
    37,508x = 58,062 × 58,062
  4. Step 4: Simplify right side
    37,508x = 3,371,195,844
  5. Step 5: Solve for x
    x = 3,371,195,844/37,508
  6. Step 6: Final answer
    x = 89,879.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.