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Finding the Third Proportional to 24,706 and 54,452

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Solution

The third proportional to 24,706 and 54,452 is: 120,012.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,706 : 54,452 = 54,452 : x
  2. Step 2: Convert to fraction form
    24,706/54,452 = 54,452/x
  3. Step 3: Cross multiply
    24,706x = 54,452 × 54,452
  4. Step 4: Simplify right side
    24,706x = 2,965,020,304
  5. Step 5: Solve for x
    x = 2,965,020,304/24,706
  6. Step 6: Final answer
    x = 120,012.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.