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Finding the Third Proportional to 8,577.14 and 9,363.09

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Solution

The third proportional to 8,577.14 and 9,363.09 is: 10,221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.14 : 9,363.09 = 9,363.09 : x
  2. Step 2: Convert to fraction form
    8,577.14/9,363.09 = 9,363.09/x
  3. Step 3: Cross multiply
    8,577.14x = 9,363.09 × 9,363.09
  4. Step 4: Simplify right side
    8,577.14x = 87,667,524.57
  5. Step 5: Solve for x
    x = 87,667,524.57/8,577.14
  6. Step 6: Final answer
    x = 10,221.07

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.