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Finding the Third Proportional to 2,000.32 and 4,296.80

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Solution

The third proportional to 2,000.32 and 4,296.80 is: 9,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.32 : 4,296.80 = 4,296.80 : x
  2. Step 2: Convert to fraction form
    2,000.32/4,296.80 = 4,296.80/x
  3. Step 3: Cross multiply
    2,000.32x = 4,296.80 × 4,296.80
  4. Step 4: Simplify right side
    2,000.32x = 18,462,463.39
  5. Step 5: Solve for x
    x = 18,462,463.39/2,000.32
  6. Step 6: Final answer
    x = 9,229.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.