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Finding the Third Proportional to 27,756 and 61,048

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Solution

The third proportional to 27,756 and 61,048 is: 134,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756 : 61,048 = 61,048 : x
  2. Step 2: Convert to fraction form
    27,756/61,048 = 61,048/x
  3. Step 3: Cross multiply
    27,756x = 61,048 × 61,048
  4. Step 4: Simplify right side
    27,756x = 3,726,858,304
  5. Step 5: Solve for x
    x = 3,726,858,304/27,756
  6. Step 6: Final answer
    x = 134,272.17

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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.