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Finding the Third Proportional to 37,898 and 59,448

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Solution

The third proportional to 37,898 and 59,448 is: 93,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,898 : 59,448 = 59,448 : x
  2. Step 2: Convert to fraction form
    37,898/59,448 = 59,448/x
  3. Step 3: Cross multiply
    37,898x = 59,448 × 59,448
  4. Step 4: Simplify right side
    37,898x = 3,534,064,704
  5. Step 5: Solve for x
    x = 3,534,064,704/37,898
  6. Step 6: Final answer
    x = 93,252.01

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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.