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Finding the Third Proportional to 3,487.83 and 7,630.61

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Solution

The third proportional to 3,487.83 and 7,630.61 is: 16,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.83 : 7,630.61 = 7,630.61 : x
  2. Step 2: Convert to fraction form
    3,487.83/7,630.61 = 7,630.61/x
  3. Step 3: Cross multiply
    3,487.83x = 7,630.61 × 7,630.61
  4. Step 4: Simplify right side
    3,487.83x = 58,226,229.24
  5. Step 5: Solve for x
    x = 58,226,229.24/3,487.83
  6. Step 6: Final answer
    x = 16,694.14

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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.