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Finding the Third Proportional to 37,751 and 52,908

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Solution

The third proportional to 37,751 and 52,908 is: 74,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,751 : 52,908 = 52,908 : x
  2. Step 2: Convert to fraction form
    37,751/52,908 = 52,908/x
  3. Step 3: Cross multiply
    37,751x = 52,908 × 52,908
  4. Step 4: Simplify right side
    37,751x = 2,799,256,464
  5. Step 5: Solve for x
    x = 2,799,256,464/37,751
  6. Step 6: Final answer
    x = 74,150.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.