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Finding the Third Proportional to 5,945.91 and 12,711.94

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Solution

The third proportional to 5,945.91 and 12,711.94 is: 27,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.91 : 12,711.94 = 12,711.94 : x
  2. Step 2: Convert to fraction form
    5,945.91/12,711.94 = 12,711.94/x
  3. Step 3: Cross multiply
    5,945.91x = 12,711.94 × 12,711.94
  4. Step 4: Simplify right side
    5,945.91x = 161,593,355.00
  5. Step 5: Solve for x
    x = 161,593,355.00/5,945.91
  6. Step 6: Final answer
    x = 27,177.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.