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Finding the Third Proportional to 3,691.13 and 4,268.25

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Solution

The third proportional to 3,691.13 and 4,268.25 is: 4,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.13 : 4,268.25 = 4,268.25 : x
  2. Step 2: Convert to fraction form
    3,691.13/4,268.25 = 4,268.25/x
  3. Step 3: Cross multiply
    3,691.13x = 4,268.25 × 4,268.25
  4. Step 4: Simplify right side
    3,691.13x = 18,217,958.06
  5. Step 5: Solve for x
    x = 18,217,958.06/3,691.13
  6. Step 6: Final answer
    x = 4,935.61

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.