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Finding the Third Proportional to 10,614 and 24,999

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Solution

The third proportional to 10,614 and 24,999 is: 58,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 24,999 = 24,999 : x
  2. Step 2: Convert to fraction form
    10,614/24,999 = 24,999/x
  3. Step 3: Cross multiply
    10,614x = 24,999 × 24,999
  4. Step 4: Simplify right side
    10,614x = 624,950,001
  5. Step 5: Solve for x
    x = 624,950,001/10,614
  6. Step 6: Final answer
    x = 58,879.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.