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Finding the Third Proportional to 2,613.52 and 3,920.27

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Solution

The third proportional to 2,613.52 and 3,920.27 is: 5,880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.52 : 3,920.27 = 3,920.27 : x
  2. Step 2: Convert to fraction form
    2,613.52/3,920.27 = 3,920.27/x
  3. Step 3: Cross multiply
    2,613.52x = 3,920.27 × 3,920.27
  4. Step 4: Simplify right side
    2,613.52x = 15,368,543.82
  5. Step 5: Solve for x
    x = 15,368,543.82/2,613.52
  6. Step 6: Final answer
    x = 5,880.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.