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Finding the Third Proportional to 3,507.75 and 6,491.44

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Solution

The third proportional to 3,507.75 and 6,491.44 is: 12,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.75 : 6,491.44 = 6,491.44 : x
  2. Step 2: Convert to fraction form
    3,507.75/6,491.44 = 6,491.44/x
  3. Step 3: Cross multiply
    3,507.75x = 6,491.44 × 6,491.44
  4. Step 4: Simplify right side
    3,507.75x = 42,138,760.82
  5. Step 5: Solve for x
    x = 42,138,760.82/3,507.75
  6. Step 6: Final answer
    x = 12,013.05

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.