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Finding the Third Proportional to 41,286.38 and 65,613.38

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Solution

The third proportional to 41,286.38 and 65,613.38 is: 104,274.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,286.38 : 65,613.38 = 65,613.38 : x
  2. Step 2: Convert to fraction form
    41,286.38/65,613.38 = 65,613.38/x
  3. Step 3: Cross multiply
    41,286.38x = 65,613.38 × 65,613.38
  4. Step 4: Simplify right side
    41,286.38x = 4,305,114,978.89
  5. Step 5: Solve for x
    x = 4,305,114,978.89/41,286.38
  6. Step 6: Final answer
    x = 104,274.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.