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Finding the Third Proportional to 5,934.94 and 6,711.19

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Solution

The third proportional to 5,934.94 and 6,711.19 is: 7,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.94 : 6,711.19 = 6,711.19 : x
  2. Step 2: Convert to fraction form
    5,934.94/6,711.19 = 6,711.19/x
  3. Step 3: Cross multiply
    5,934.94x = 6,711.19 × 6,711.19
  4. Step 4: Simplify right side
    5,934.94x = 45,040,037.66
  5. Step 5: Solve for x
    x = 45,040,037.66/5,934.94
  6. Step 6: Final answer
    x = 7,588.97

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.