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Finding the Third Proportional to 5,947.59 and 12,889.97

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Solution

The third proportional to 5,947.59 and 12,889.97 is: 27,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.59 : 12,889.97 = 12,889.97 : x
  2. Step 2: Convert to fraction form
    5,947.59/12,889.97 = 12,889.97/x
  3. Step 3: Cross multiply
    5,947.59x = 12,889.97 × 12,889.97
  4. Step 4: Simplify right side
    5,947.59x = 166,151,294.38
  5. Step 5: Solve for x
    x = 166,151,294.38/5,947.59
  6. Step 6: Final answer
    x = 27,935.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.