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Finding the Third Proportional to 7,873 and 11,006.75

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Solution

The third proportional to 7,873 and 11,006.75 is: 15,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873 : 11,006.75 = 11,006.75 : x
  2. Step 2: Convert to fraction form
    7,873/11,006.75 = 11,006.75/x
  3. Step 3: Cross multiply
    7,873x = 11,006.75 × 11,006.75
  4. Step 4: Simplify right side
    7,873x = 121,148,545.56
  5. Step 5: Solve for x
    x = 121,148,545.56/7,873
  6. Step 6: Final answer
    x = 15,387.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.