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Finding the Third Proportional to 24,540 and 52,719

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Solution

The third proportional to 24,540 and 52,719 is: 113,255.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,540 : 52,719 = 52,719 : x
  2. Step 2: Convert to fraction form
    24,540/52,719 = 52,719/x
  3. Step 3: Cross multiply
    24,540x = 52,719 × 52,719
  4. Step 4: Simplify right side
    24,540x = 2,779,292,961
  5. Step 5: Solve for x
    x = 2,779,292,961/24,540
  6. Step 6: Final answer
    x = 113,255.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.