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Finding the Third Proportional to 8,500 and 12,241

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Solution

The third proportional to 8,500 and 12,241 is: 17,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500 : 12,241 = 12,241 : x
  2. Step 2: Convert to fraction form
    8,500/12,241 = 12,241/x
  3. Step 3: Cross multiply
    8,500x = 12,241 × 12,241
  4. Step 4: Simplify right side
    8,500x = 149,842,081
  5. Step 5: Solve for x
    x = 149,842,081/8,500
  6. Step 6: Final answer
    x = 17,628.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.