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Finding the Third Proportional to 2,713.92 and 4,128.05

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Solution

The third proportional to 2,713.92 and 4,128.05 is: 6,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.92 : 4,128.05 = 4,128.05 : x
  2. Step 2: Convert to fraction form
    2,713.92/4,128.05 = 4,128.05/x
  3. Step 3: Cross multiply
    2,713.92x = 4,128.05 × 4,128.05
  4. Step 4: Simplify right side
    2,713.92x = 17,040,771.00
  5. Step 5: Solve for x
    x = 17,040,771.00/2,713.92
  6. Step 6: Final answer
    x = 6,279.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.