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Finding the Third Proportional to 37,372 and 55,734

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Solution

The third proportional to 37,372 and 55,734 is: 83,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,372 : 55,734 = 55,734 : x
  2. Step 2: Convert to fraction form
    37,372/55,734 = 55,734/x
  3. Step 3: Cross multiply
    37,372x = 55,734 × 55,734
  4. Step 4: Simplify right side
    37,372x = 3,106,278,756
  5. Step 5: Solve for x
    x = 3,106,278,756/37,372
  6. Step 6: Final answer
    x = 83,117.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.