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Finding the Third Proportional to 37,382 and 57,941

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Solution

The third proportional to 37,382 and 57,941 is: 89,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,382 : 57,941 = 57,941 : x
  2. Step 2: Convert to fraction form
    37,382/57,941 = 57,941/x
  3. Step 3: Cross multiply
    37,382x = 57,941 × 57,941
  4. Step 4: Simplify right side
    37,382x = 3,357,159,481
  5. Step 5: Solve for x
    x = 3,357,159,481/37,382
  6. Step 6: Final answer
    x = 89,806.85

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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.