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Finding the Third Proportional to 10,614 and 24,967

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Solution

The third proportional to 10,614 and 24,967 is: 58,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614 : 24,967 = 24,967 : x
  2. Step 2: Convert to fraction form
    10,614/24,967 = 24,967/x
  3. Step 3: Cross multiply
    10,614x = 24,967 × 24,967
  4. Step 4: Simplify right side
    10,614x = 623,351,089
  5. Step 5: Solve for x
    x = 623,351,089/10,614
  6. Step 6: Final answer
    x = 58,729.14

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.