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Finding the Third Proportional to 15,442 and 23,962

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Solution

The third proportional to 15,442 and 23,962 is: 37,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442 : 23,962 = 23,962 : x
  2. Step 2: Convert to fraction form
    15,442/23,962 = 23,962/x
  3. Step 3: Cross multiply
    15,442x = 23,962 × 23,962
  4. Step 4: Simplify right side
    15,442x = 574,177,444
  5. Step 5: Solve for x
    x = 574,177,444/15,442
  6. Step 6: Final answer
    x = 37,182.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.