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Finding the Third Proportional to 16,706.25 and 36,672.75

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Solution

The third proportional to 16,706.25 and 36,672.75 is: 80,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.25 : 36,672.75 = 36,672.75 : x
  2. Step 2: Convert to fraction form
    16,706.25/36,672.75 = 36,672.75/x
  3. Step 3: Cross multiply
    16,706.25x = 36,672.75 × 36,672.75
  4. Step 4: Simplify right side
    16,706.25x = 1,344,890,592.56
  5. Step 5: Solve for x
    x = 1,344,890,592.56/16,706.25
  6. Step 6: Final answer
    x = 80,502.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.