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Finding the Third Proportional to 37,679.70 and 80,823.16

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Solution

The third proportional to 37,679.70 and 80,823.16 is: 173,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679.70 : 80,823.16 = 80,823.16 : x
  2. Step 2: Convert to fraction form
    37,679.70/80,823.16 = 80,823.16/x
  3. Step 3: Cross multiply
    37,679.70x = 80,823.16 × 80,823.16
  4. Step 4: Simplify right side
    37,679.70x = 6,532,382,961.13
  5. Step 5: Solve for x
    x = 6,532,382,961.13/37,679.70
  6. Step 6: Final answer
    x = 173,366.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.