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Finding the Third Proportional to 18,177 and 26,665

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Solution

The third proportional to 18,177 and 26,665 is: 39,116.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,177 : 26,665 = 26,665 : x
  2. Step 2: Convert to fraction form
    18,177/26,665 = 26,665/x
  3. Step 3: Cross multiply
    18,177x = 26,665 × 26,665
  4. Step 4: Simplify right side
    18,177x = 711,022,225
  5. Step 5: Solve for x
    x = 711,022,225/18,177
  6. Step 6: Final answer
    x = 39,116.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.