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Finding the Third Proportional to 36,571 and 54,617

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Solution

The third proportional to 36,571 and 54,617 is: 81,567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,571 : 54,617 = 54,617 : x
  2. Step 2: Convert to fraction form
    36,571/54,617 = 54,617/x
  3. Step 3: Cross multiply
    36,571x = 54,617 × 54,617
  4. Step 4: Simplify right side
    36,571x = 2,983,016,689
  5. Step 5: Solve for x
    x = 2,983,016,689/36,571
  6. Step 6: Final answer
    x = 81,567.82

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Why These Related Problems?

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