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Finding the Third Proportional to 51,844.50 and 80,431

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Solution

The third proportional to 51,844.50 and 80,431 is: 124,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844.50 : 80,431 = 80,431 : x
  2. Step 2: Convert to fraction form
    51,844.50/80,431 = 80,431/x
  3. Step 3: Cross multiply
    51,844.50x = 80,431 × 80,431
  4. Step 4: Simplify right side
    51,844.50x = 6,469,145,761
  5. Step 5: Solve for x
    x = 6,469,145,761/51,844.50
  6. Step 6: Final answer
    x = 124,779.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.