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Finding the Third Proportional to 23,452 and 41,708

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Solution

The third proportional to 23,452 and 41,708 is: 74,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452 : 41,708 = 41,708 : x
  2. Step 2: Convert to fraction form
    23,452/41,708 = 41,708/x
  3. Step 3: Cross multiply
    23,452x = 41,708 × 41,708
  4. Step 4: Simplify right side
    23,452x = 1,739,557,264
  5. Step 5: Solve for x
    x = 1,739,557,264/23,452
  6. Step 6: Final answer
    x = 74,175.22

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.