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Finding the Third Proportional to 5,268.38 and 9,534.38

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Solution

The third proportional to 5,268.38 and 9,534.38 is: 17,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.38 : 9,534.38 = 9,534.38 : x
  2. Step 2: Convert to fraction form
    5,268.38/9,534.38 = 9,534.38/x
  3. Step 3: Cross multiply
    5,268.38x = 9,534.38 × 9,534.38
  4. Step 4: Simplify right side
    5,268.38x = 90,904,306.64
  5. Step 5: Solve for x
    x = 90,904,306.64/5,268.38
  6. Step 6: Final answer
    x = 17,254.71

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.