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Finding the Third Proportional to 17,644 and 24,731

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Solution

The third proportional to 17,644 and 24,731 is: 34,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644 : 24,731 = 24,731 : x
  2. Step 2: Convert to fraction form
    17,644/24,731 = 24,731/x
  3. Step 3: Cross multiply
    17,644x = 24,731 × 24,731
  4. Step 4: Simplify right side
    17,644x = 611,622,361
  5. Step 5: Solve for x
    x = 611,622,361/17,644
  6. Step 6: Final answer
    x = 34,664.61

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Why These Related Problems?

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