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Finding the Third Proportional to 37,448 and 50,412

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Solution

The third proportional to 37,448 and 50,412 is: 67,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,448 : 50,412 = 50,412 : x
  2. Step 2: Convert to fraction form
    37,448/50,412 = 50,412/x
  3. Step 3: Cross multiply
    37,448x = 50,412 × 50,412
  4. Step 4: Simplify right side
    37,448x = 2,541,369,744
  5. Step 5: Solve for x
    x = 2,541,369,744/37,448
  6. Step 6: Final answer
    x = 67,863.96

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.