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Finding the Third Proportional to 22,344 and 34,741

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Solution

The third proportional to 22,344 and 34,741 is: 54,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344 : 34,741 = 34,741 : x
  2. Step 2: Convert to fraction form
    22,344/34,741 = 34,741/x
  3. Step 3: Cross multiply
    22,344x = 34,741 × 34,741
  4. Step 4: Simplify right side
    22,344x = 1,206,937,081
  5. Step 5: Solve for x
    x = 1,206,937,081/22,344
  6. Step 6: Final answer
    x = 54,016.16

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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.