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Finding the Third Proportional to 3,432.38 and 7,012.83

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Solution

The third proportional to 3,432.38 and 7,012.83 is: 14,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.38 : 7,012.83 = 7,012.83 : x
  2. Step 2: Convert to fraction form
    3,432.38/7,012.83 = 7,012.83/x
  3. Step 3: Cross multiply
    3,432.38x = 7,012.83 × 7,012.83
  4. Step 4: Simplify right side
    3,432.38x = 49,179,758.31
  5. Step 5: Solve for x
    x = 49,179,758.31/3,432.38
  6. Step 6: Final answer
    x = 14,328.20

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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.