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Finding the Third Proportional to 5,941.25 and 8,306.38

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Solution

The third proportional to 5,941.25 and 8,306.38 is: 11,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.25 : 8,306.38 = 8,306.38 : x
  2. Step 2: Convert to fraction form
    5,941.25/8,306.38 = 8,306.38/x
  3. Step 3: Cross multiply
    5,941.25x = 8,306.38 × 8,306.38
  4. Step 4: Simplify right side
    5,941.25x = 68,995,865.64
  5. Step 5: Solve for x
    x = 68,995,865.64/5,941.25
  6. Step 6: Final answer
    x = 11,613.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.