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Finding the Third Proportional to 36,279.14 and 76,963.92

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Solution

The third proportional to 36,279.14 and 76,963.92 is: 163,274.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,279.14 : 76,963.92 = 76,963.92 : x
  2. Step 2: Convert to fraction form
    36,279.14/76,963.92 = 76,963.92/x
  3. Step 3: Cross multiply
    36,279.14x = 76,963.92 × 76,963.92
  4. Step 4: Simplify right side
    36,279.14x = 5,923,445,270.38
  5. Step 5: Solve for x
    x = 5,923,445,270.38/36,279.14
  6. Step 6: Final answer
    x = 163,274.13

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.