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Finding the Third Proportional to 2,766.57 and 4,170.80

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Solution

The third proportional to 2,766.57 and 4,170.80 is: 6,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.57 : 4,170.80 = 4,170.80 : x
  2. Step 2: Convert to fraction form
    2,766.57/4,170.80 = 4,170.80/x
  3. Step 3: Cross multiply
    2,766.57x = 4,170.80 × 4,170.80
  4. Step 4: Simplify right side
    2,766.57x = 17,395,607.29
  5. Step 5: Solve for x
    x = 17,395,607.29/2,766.57
  6. Step 6: Final answer
    x = 6,287.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.