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Finding the Third Proportional to 3,229.31 and 6,595.59

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Solution

The third proportional to 3,229.31 and 6,595.59 is: 13,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.31 : 6,595.59 = 6,595.59 : x
  2. Step 2: Convert to fraction form
    3,229.31/6,595.59 = 6,595.59/x
  3. Step 3: Cross multiply
    3,229.31x = 6,595.59 × 6,595.59
  4. Step 4: Simplify right side
    3,229.31x = 43,501,856.92
  5. Step 5: Solve for x
    x = 43,501,856.92/3,229.31
  6. Step 6: Final answer
    x = 13,470.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.