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Finding the Third Proportional to 21,806 and 29,427

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Solution

The third proportional to 21,806 and 29,427 is: 39,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806 : 29,427 = 29,427 : x
  2. Step 2: Convert to fraction form
    21,806/29,427 = 29,427/x
  3. Step 3: Cross multiply
    21,806x = 29,427 × 29,427
  4. Step 4: Simplify right side
    21,806x = 865,948,329
  5. Step 5: Solve for x
    x = 865,948,329/21,806
  6. Step 6: Final answer
    x = 39,711.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.