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Finding the Third Proportional to 27,720 and 60,755.25

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Solution

The third proportional to 27,720 and 60,755.25 is: 133,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 60,755.25 = 60,755.25 : x
  2. Step 2: Convert to fraction form
    27,720/60,755.25 = 60,755.25/x
  3. Step 3: Cross multiply
    27,720x = 60,755.25 × 60,755.25
  4. Step 4: Simplify right side
    27,720x = 3,691,200,402.56
  5. Step 5: Solve for x
    x = 3,691,200,402.56/27,720
  6. Step 6: Final answer
    x = 133,160.19

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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.