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Finding the Third Proportional to 49,286.81 and 80,082

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Solution

The third proportional to 49,286.81 and 80,082 is: 130,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286.81 : 80,082 = 80,082 : x
  2. Step 2: Convert to fraction form
    49,286.81/80,082 = 80,082/x
  3. Step 3: Cross multiply
    49,286.81x = 80,082 × 80,082
  4. Step 4: Simplify right side
    49,286.81x = 6,413,126,724
  5. Step 5: Solve for x
    x = 6,413,126,724/49,286.81
  6. Step 6: Final answer
    x = 130,118.51

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.