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Finding the Third Proportional to 10,564 and 14,874

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Solution

The third proportional to 10,564 and 14,874 is: 20,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564 : 14,874 = 14,874 : x
  2. Step 2: Convert to fraction form
    10,564/14,874 = 14,874/x
  3. Step 3: Cross multiply
    10,564x = 14,874 × 14,874
  4. Step 4: Simplify right side
    10,564x = 221,235,876
  5. Step 5: Solve for x
    x = 221,235,876/10,564
  6. Step 6: Final answer
    x = 20,942.43

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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.