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Finding the Third Proportional to 27,785.53 and 59,914.69

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Solution

The third proportional to 27,785.53 and 59,914.69 is: 129,195.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.53 : 59,914.69 = 59,914.69 : x
  2. Step 2: Convert to fraction form
    27,785.53/59,914.69 = 59,914.69/x
  3. Step 3: Cross multiply
    27,785.53x = 59,914.69 × 59,914.69
  4. Step 4: Simplify right side
    27,785.53x = 3,589,769,778.22
  5. Step 5: Solve for x
    x = 3,589,769,778.22/27,785.53
  6. Step 6: Final answer
    x = 129,195.65

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.