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Finding the Third Proportional to 2,468.92 and 4,268.64

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Solution

The third proportional to 2,468.92 and 4,268.64 is: 7,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.92 : 4,268.64 = 4,268.64 : x
  2. Step 2: Convert to fraction form
    2,468.92/4,268.64 = 4,268.64/x
  3. Step 3: Cross multiply
    2,468.92x = 4,268.64 × 4,268.64
  4. Step 4: Simplify right side
    2,468.92x = 18,221,259.44
  5. Step 5: Solve for x
    x = 18,221,259.44/2,468.92
  6. Step 6: Final answer
    x = 7,380.26

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.