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Finding the Third Proportional to 5,491.97 and 6,015.94

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Solution

The third proportional to 5,491.97 and 6,015.94 is: 6,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.97 : 6,015.94 = 6,015.94 : x
  2. Step 2: Convert to fraction form
    5,491.97/6,015.94 = 6,015.94/x
  3. Step 3: Cross multiply
    5,491.97x = 6,015.94 × 6,015.94
  4. Step 4: Simplify right side
    5,491.97x = 36,191,504.00
  5. Step 5: Solve for x
    x = 36,191,504.00/5,491.97
  6. Step 6: Final answer
    x = 6,589.90

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.