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Finding the Third Proportional to 37,761 and 51,102.75

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Solution

The third proportional to 37,761 and 51,102.75 is: 69,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761 : 51,102.75 = 51,102.75 : x
  2. Step 2: Convert to fraction form
    37,761/51,102.75 = 51,102.75/x
  3. Step 3: Cross multiply
    37,761x = 51,102.75 × 51,102.75
  4. Step 4: Simplify right side
    37,761x = 2,611,491,057.56
  5. Step 5: Solve for x
    x = 2,611,491,057.56/37,761
  6. Step 6: Final answer
    x = 69,158.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.