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Finding the Third Proportional to 3,149.44 and 6,557.91

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Solution

The third proportional to 3,149.44 and 6,557.91 is: 13,655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.44 : 6,557.91 = 6,557.91 : x
  2. Step 2: Convert to fraction form
    3,149.44/6,557.91 = 6,557.91/x
  3. Step 3: Cross multiply
    3,149.44x = 6,557.91 × 6,557.91
  4. Step 4: Simplify right side
    3,149.44x = 43,006,134.38
  5. Step 5: Solve for x
    x = 43,006,134.38/3,149.44
  6. Step 6: Final answer
    x = 13,655.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.