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Finding the Third Proportional to 2,847.13 and 6,254.61

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Solution

The third proportional to 2,847.13 and 6,254.61 is: 13,740.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.13 : 6,254.61 = 6,254.61 : x
  2. Step 2: Convert to fraction form
    2,847.13/6,254.61 = 6,254.61/x
  3. Step 3: Cross multiply
    2,847.13x = 6,254.61 × 6,254.61
  4. Step 4: Simplify right side
    2,847.13x = 39,120,187.30
  5. Step 5: Solve for x
    x = 39,120,187.30/2,847.13
  6. Step 6: Final answer
    x = 13,740.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.