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Finding the Third Proportional to 17,663 and 24,755

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Solution

The third proportional to 17,663 and 24,755 is: 34,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663 : 24,755 = 24,755 : x
  2. Step 2: Convert to fraction form
    17,663/24,755 = 24,755/x
  3. Step 3: Cross multiply
    17,663x = 24,755 × 24,755
  4. Step 4: Simplify right side
    17,663x = 612,810,025
  5. Step 5: Solve for x
    x = 612,810,025/17,663
  6. Step 6: Final answer
    x = 34,694.56

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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.