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Finding the Third Proportional to 2,631.66 and 5,758.31

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Solution

The third proportional to 2,631.66 and 5,758.31 is: 12,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.66 : 5,758.31 = 5,758.31 : x
  2. Step 2: Convert to fraction form
    2,631.66/5,758.31 = 5,758.31/x
  3. Step 3: Cross multiply
    2,631.66x = 5,758.31 × 5,758.31
  4. Step 4: Simplify right side
    2,631.66x = 33,158,162.85
  5. Step 5: Solve for x
    x = 33,158,162.85/2,631.66
  6. Step 6: Final answer
    x = 12,599.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.