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Finding the Third Proportional to 27,963 and 61,452

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Solution

The third proportional to 27,963 and 61,452 is: 135,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963 : 61,452 = 61,452 : x
  2. Step 2: Convert to fraction form
    27,963/61,452 = 61,452/x
  3. Step 3: Cross multiply
    27,963x = 61,452 × 61,452
  4. Step 4: Simplify right side
    27,963x = 3,776,348,304
  5. Step 5: Solve for x
    x = 3,776,348,304/27,963
  6. Step 6: Final answer
    x = 135,048.04

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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.