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Finding the Third Proportional to 27,180 and 59,878.13

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Solution

The third proportional to 27,180 and 59,878.13 is: 131,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 59,878.13 = 59,878.13 : x
  2. Step 2: Convert to fraction form
    27,180/59,878.13 = 59,878.13/x
  3. Step 3: Cross multiply
    27,180x = 59,878.13 × 59,878.13
  4. Step 4: Simplify right side
    27,180x = 3,585,389,853.52
  5. Step 5: Solve for x
    x = 3,585,389,853.52/27,180
  6. Step 6: Final answer
    x = 131,912.80

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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.