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Finding the Third Proportional to 8,441 and 10,169

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Solution

The third proportional to 8,441 and 10,169 is: 12,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441 : 10,169 = 10,169 : x
  2. Step 2: Convert to fraction form
    8,441/10,169 = 10,169/x
  3. Step 3: Cross multiply
    8,441x = 10,169 × 10,169
  4. Step 4: Simplify right side
    8,441x = 103,408,561
  5. Step 5: Solve for x
    x = 103,408,561/8,441
  6. Step 6: Final answer
    x = 12,250.75

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.