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Finding the Third Proportional to 3,121.66 and 6,531.89

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Solution

The third proportional to 3,121.66 and 6,531.89 is: 13,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.66 : 6,531.89 = 6,531.89 : x
  2. Step 2: Convert to fraction form
    3,121.66/6,531.89 = 6,531.89/x
  3. Step 3: Cross multiply
    3,121.66x = 6,531.89 × 6,531.89
  4. Step 4: Simplify right side
    3,121.66x = 42,665,595.14
  5. Step 5: Solve for x
    x = 42,665,595.14/3,121.66
  6. Step 6: Final answer
    x = 13,667.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.