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Finding the Third Proportional to 3,454.31 and 7,002.28

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Solution

The third proportional to 3,454.31 and 7,002.28 is: 14,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.31 : 7,002.28 = 7,002.28 : x
  2. Step 2: Convert to fraction form
    3,454.31/7,002.28 = 7,002.28/x
  3. Step 3: Cross multiply
    3,454.31x = 7,002.28 × 7,002.28
  4. Step 4: Simplify right side
    3,454.31x = 49,031,942.70
  5. Step 5: Solve for x
    x = 49,031,942.70/3,454.31
  6. Step 6: Final answer
    x = 14,194.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.