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Finding the Third Proportional to 16,169.50 and 24,191.25

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Solution

The third proportional to 16,169.50 and 24,191.25 is: 36,192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.50 : 24,191.25 = 24,191.25 : x
  2. Step 2: Convert to fraction form
    16,169.50/24,191.25 = 24,191.25/x
  3. Step 3: Cross multiply
    16,169.50x = 24,191.25 × 24,191.25
  4. Step 4: Simplify right side
    16,169.50x = 585,216,576.56
  5. Step 5: Solve for x
    x = 585,216,576.56/16,169.50
  6. Step 6: Final answer
    x = 36,192.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.