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Finding the Third Proportional to 27,754 and 60,698

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Solution

The third proportional to 27,754 and 60,698 is: 132,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754 : 60,698 = 60,698 : x
  2. Step 2: Convert to fraction form
    27,754/60,698 = 60,698/x
  3. Step 3: Cross multiply
    27,754x = 60,698 × 60,698
  4. Step 4: Simplify right side
    27,754x = 3,684,247,204
  5. Step 5: Solve for x
    x = 3,684,247,204/27,754
  6. Step 6: Final answer
    x = 132,746.53

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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.