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Finding the Third Proportional to 38,872.50 and 80,511

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Solution

The third proportional to 38,872.50 and 80,511 is: 166,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,872.50 : 80,511 = 80,511 : x
  2. Step 2: Convert to fraction form
    38,872.50/80,511 = 80,511/x
  3. Step 3: Cross multiply
    38,872.50x = 80,511 × 80,511
  4. Step 4: Simplify right side
    38,872.50x = 6,482,021,121
  5. Step 5: Solve for x
    x = 6,482,021,121/38,872.50
  6. Step 6: Final answer
    x = 166,750.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.