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Finding the Third Proportional to 10,521 and 22,866

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Solution

The third proportional to 10,521 and 22,866 is: 49,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521 : 22,866 = 22,866 : x
  2. Step 2: Convert to fraction form
    10,521/22,866 = 22,866/x
  3. Step 3: Cross multiply
    10,521x = 22,866 × 22,866
  4. Step 4: Simplify right side
    10,521x = 522,853,956
  5. Step 5: Solve for x
    x = 522,853,956/10,521
  6. Step 6: Final answer
    x = 49,696.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.