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Finding the Third Proportional to 8,220.75 and 11,632.25

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Solution

The third proportional to 8,220.75 and 11,632.25 is: 16,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.75 : 11,632.25 = 11,632.25 : x
  2. Step 2: Convert to fraction form
    8,220.75/11,632.25 = 11,632.25/x
  3. Step 3: Cross multiply
    8,220.75x = 11,632.25 × 11,632.25
  4. Step 4: Simplify right side
    8,220.75x = 135,309,240.06
  5. Step 5: Solve for x
    x = 135,309,240.06/8,220.75
  6. Step 6: Final answer
    x = 16,459.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.