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Finding the Third Proportional to 3,011.55 and 6,387.61

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Solution

The third proportional to 3,011.55 and 6,387.61 is: 13,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.55 : 6,387.61 = 6,387.61 : x
  2. Step 2: Convert to fraction form
    3,011.55/6,387.61 = 6,387.61/x
  3. Step 3: Cross multiply
    3,011.55x = 6,387.61 × 6,387.61
  4. Step 4: Simplify right side
    3,011.55x = 40,801,553.53
  5. Step 5: Solve for x
    x = 40,801,553.53/3,011.55
  6. Step 6: Final answer
    x = 13,548.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.