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Finding the Third Proportional to 2,668.88 and 4,067.86

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Solution

The third proportional to 2,668.88 and 4,067.86 is: 6,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.88 : 4,067.86 = 4,067.86 : x
  2. Step 2: Convert to fraction form
    2,668.88/4,067.86 = 4,067.86/x
  3. Step 3: Cross multiply
    2,668.88x = 4,067.86 × 4,067.86
  4. Step 4: Simplify right side
    2,668.88x = 16,547,479.89
  5. Step 5: Solve for x
    x = 16,547,479.89/2,668.88
  6. Step 6: Final answer
    x = 6,200.17

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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.