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Finding the Third Proportional to 15,796 and 22,452

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Solution

The third proportional to 15,796 and 22,452 is: 31,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,796 : 22,452 = 22,452 : x
  2. Step 2: Convert to fraction form
    15,796/22,452 = 22,452/x
  3. Step 3: Cross multiply
    15,796x = 22,452 × 22,452
  4. Step 4: Simplify right side
    15,796x = 504,092,304
  5. Step 5: Solve for x
    x = 504,092,304/15,796
  6. Step 6: Final answer
    x = 31,912.66

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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.