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Finding the Third Proportional to 2,480.81 and 3,367.88

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Solution

The third proportional to 2,480.81 and 3,367.88 is: 4,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.81 : 3,367.88 = 3,367.88 : x
  2. Step 2: Convert to fraction form
    2,480.81/3,367.88 = 3,367.88/x
  3. Step 3: Cross multiply
    2,480.81x = 3,367.88 × 3,367.88
  4. Step 4: Simplify right side
    2,480.81x = 11,342,582.02
  5. Step 5: Solve for x
    x = 11,342,582.02/2,480.81
  6. Step 6: Final answer
    x = 4,572.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.