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Finding the Third Proportional to 27,748 and 60,686

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Solution

The third proportional to 27,748 and 60,686 is: 132,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748 : 60,686 = 60,686 : x
  2. Step 2: Convert to fraction form
    27,748/60,686 = 60,686/x
  3. Step 3: Cross multiply
    27,748x = 60,686 × 60,686
  4. Step 4: Simplify right side
    27,748x = 3,682,790,596
  5. Step 5: Solve for x
    x = 3,682,790,596/27,748
  6. Step 6: Final answer
    x = 132,722.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.