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Finding the Third Proportional to 41,582 and 55,731

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Solution

The third proportional to 41,582 and 55,731 is: 74,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,582 : 55,731 = 55,731 : x
  2. Step 2: Convert to fraction form
    41,582/55,731 = 55,731/x
  3. Step 3: Cross multiply
    41,582x = 55,731 × 55,731
  4. Step 4: Simplify right side
    41,582x = 3,105,944,361
  5. Step 5: Solve for x
    x = 3,105,944,361/41,582
  6. Step 6: Final answer
    x = 74,694.44

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.