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Finding the Third Proportional to 27,690 and 60,918

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Solution

The third proportional to 27,690 and 60,918 is: 134,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,690 : 60,918 = 60,918 : x
  2. Step 2: Convert to fraction form
    27,690/60,918 = 60,918/x
  3. Step 3: Cross multiply
    27,690x = 60,918 × 60,918
  4. Step 4: Simplify right side
    27,690x = 3,711,002,724
  5. Step 5: Solve for x
    x = 3,711,002,724/27,690
  6. Step 6: Final answer
    x = 134,019.60

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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.