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Finding the Third Proportional to 51,833.50 and 80,041

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Solution

The third proportional to 51,833.50 and 80,041 is: 123,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,833.50 : 80,041 = 80,041 : x
  2. Step 2: Convert to fraction form
    51,833.50/80,041 = 80,041/x
  3. Step 3: Cross multiply
    51,833.50x = 80,041 × 80,041
  4. Step 4: Simplify right side
    51,833.50x = 6,406,561,681
  5. Step 5: Solve for x
    x = 6,406,561,681/51,833.50
  6. Step 6: Final answer
    x = 123,598.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.