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Finding the Third Proportional to 27,744.50 and 60,679.50

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Solution

The third proportional to 27,744.50 and 60,679.50 is: 132,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.50 : 60,679.50 = 60,679.50 : x
  2. Step 2: Convert to fraction form
    27,744.50/60,679.50 = 60,679.50/x
  3. Step 3: Cross multiply
    27,744.50x = 60,679.50 × 60,679.50
  4. Step 4: Simplify right side
    27,744.50x = 3,682,001,720.25
  5. Step 5: Solve for x
    x = 3,682,001,720.25/27,744.50
  6. Step 6: Final answer
    x = 132,711.05

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