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Finding the Third Proportional to 10,464 and 14,744

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Solution

The third proportional to 10,464 and 14,744 is: 20,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 14,744 = 14,744 : x
  2. Step 2: Convert to fraction form
    10,464/14,744 = 14,744/x
  3. Step 3: Cross multiply
    10,464x = 14,744 × 14,744
  4. Step 4: Simplify right side
    10,464x = 217,385,536
  5. Step 5: Solve for x
    x = 217,385,536/10,464
  6. Step 6: Final answer
    x = 20,774.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.