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Finding the Third Proportional to 27,899 and 61,360

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Solution

The third proportional to 27,899 and 61,360 is: 134,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,899 : 61,360 = 61,360 : x
  2. Step 2: Convert to fraction form
    27,899/61,360 = 61,360/x
  3. Step 3: Cross multiply
    27,899x = 61,360 × 61,360
  4. Step 4: Simplify right side
    27,899x = 3,765,049,600
  5. Step 5: Solve for x
    x = 3,765,049,600/27,899
  6. Step 6: Final answer
    x = 134,952.85

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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.