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Finding the Third Proportional to 10,662 and 23,651

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Solution

The third proportional to 10,662 and 23,651 is: 52,463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662 : 23,651 = 23,651 : x
  2. Step 2: Convert to fraction form
    10,662/23,651 = 23,651/x
  3. Step 3: Cross multiply
    10,662x = 23,651 × 23,651
  4. Step 4: Simplify right side
    10,662x = 559,369,801
  5. Step 5: Solve for x
    x = 559,369,801/10,662
  6. Step 6: Final answer
    x = 52,463.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.