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Finding the Third Proportional to 27,243.57 and 58,661.80

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Solution

The third proportional to 27,243.57 and 58,661.80 is: 126,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243.57 : 58,661.80 = 58,661.80 : x
  2. Step 2: Convert to fraction form
    27,243.57/58,661.80 = 58,661.80/x
  3. Step 3: Cross multiply
    27,243.57x = 58,661.80 × 58,661.80
  4. Step 4: Simplify right side
    27,243.57x = 3,441,206,527.18
  5. Step 5: Solve for x
    x = 3,441,206,527.18/27,243.57
  6. Step 6: Final answer
    x = 126,312.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.