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Finding the Third Proportional to 51,008.50 and 71,704.25

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Solution

The third proportional to 51,008.50 and 71,704.25 is: 100,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008.50 : 71,704.25 = 71,704.25 : x
  2. Step 2: Convert to fraction form
    51,008.50/71,704.25 = 71,704.25/x
  3. Step 3: Cross multiply
    51,008.50x = 71,704.25 × 71,704.25
  4. Step 4: Simplify right side
    51,008.50x = 5,141,499,468.06
  5. Step 5: Solve for x
    x = 5,141,499,468.06/51,008.50
  6. Step 6: Final answer
    x = 100,796.92

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.