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Finding the Third Proportional to 27,846.28 and 60,772.78

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Solution

The third proportional to 27,846.28 and 60,772.78 is: 132,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.28 : 60,772.78 = 60,772.78 : x
  2. Step 2: Convert to fraction form
    27,846.28/60,772.78 = 60,772.78/x
  3. Step 3: Cross multiply
    27,846.28x = 60,772.78 × 60,772.78
  4. Step 4: Simplify right side
    27,846.28x = 3,693,330,940.86
  5. Step 5: Solve for x
    x = 3,693,330,940.86/27,846.28
  6. Step 6: Final answer
    x = 132,632.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.