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Finding the Third Proportional to 19,723.50 and 36,672.75

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Solution

The third proportional to 19,723.50 and 36,672.75 is: 68,187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,723.50 : 36,672.75 = 36,672.75 : x
  2. Step 2: Convert to fraction form
    19,723.50/36,672.75 = 36,672.75/x
  3. Step 3: Cross multiply
    19,723.50x = 36,672.75 × 36,672.75
  4. Step 4: Simplify right side
    19,723.50x = 1,344,890,592.56
  5. Step 5: Solve for x
    x = 1,344,890,592.56/19,723.50
  6. Step 6: Final answer
    x = 68,187.22

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.