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Finding the Third Proportional to 6,323.06 and 9,363.09

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Solution

The third proportional to 6,323.06 and 9,363.09 is: 13,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.06 : 9,363.09 = 9,363.09 : x
  2. Step 2: Convert to fraction form
    6,323.06/9,363.09 = 9,363.09/x
  3. Step 3: Cross multiply
    6,323.06x = 9,363.09 × 9,363.09
  4. Step 4: Simplify right side
    6,323.06x = 87,667,524.57
  5. Step 5: Solve for x
    x = 87,667,524.57/6,323.06
  6. Step 6: Final answer
    x = 13,864.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.