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Finding the Third Proportional to 9,861.75 and 20,872.69

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Solution

The third proportional to 9,861.75 and 20,872.69 is: 44,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.75 : 20,872.69 = 20,872.69 : x
  2. Step 2: Convert to fraction form
    9,861.75/20,872.69 = 20,872.69/x
  3. Step 3: Cross multiply
    9,861.75x = 20,872.69 × 20,872.69
  4. Step 4: Simplify right side
    9,861.75x = 435,669,083.47
  5. Step 5: Solve for x
    x = 435,669,083.47/9,861.75
  6. Step 6: Final answer
    x = 44,177.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.