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Finding the Third Proportional to 10,464 and 14,876

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Solution

The third proportional to 10,464 and 14,876 is: 21,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464 : 14,876 = 14,876 : x
  2. Step 2: Convert to fraction form
    10,464/14,876 = 14,876/x
  3. Step 3: Cross multiply
    10,464x = 14,876 × 14,876
  4. Step 4: Simplify right side
    10,464x = 221,295,376
  5. Step 5: Solve for x
    x = 221,295,376/10,464
  6. Step 6: Final answer
    x = 21,148.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.