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Finding the Third Proportional to 10,177 and 22,325

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Solution

The third proportional to 10,177 and 22,325 is: 48,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177 : 22,325 = 22,325 : x
  2. Step 2: Convert to fraction form
    10,177/22,325 = 22,325/x
  3. Step 3: Cross multiply
    10,177x = 22,325 × 22,325
  4. Step 4: Simplify right side
    10,177x = 498,405,625
  5. Step 5: Solve for x
    x = 498,405,625/10,177
  6. Step 6: Final answer
    x = 48,973.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.