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Finding the Third Proportional to 2,659.80 and 4,249.19

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Solution

The third proportional to 2,659.80 and 4,249.19 is: 6,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.80 : 4,249.19 = 4,249.19 : x
  2. Step 2: Convert to fraction form
    2,659.80/4,249.19 = 4,249.19/x
  3. Step 3: Cross multiply
    2,659.80x = 4,249.19 × 4,249.19
  4. Step 4: Simplify right side
    2,659.80x = 18,055,637.46
  5. Step 5: Solve for x
    x = 18,055,637.46/2,659.80
  6. Step 6: Final answer
    x = 6,788.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.