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Finding the Third Proportional to 18,154 and 25,699

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Solution

The third proportional to 18,154 and 25,699 is: 36,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,154 : 25,699 = 25,699 : x
  2. Step 2: Convert to fraction form
    18,154/25,699 = 25,699/x
  3. Step 3: Cross multiply
    18,154x = 25,699 × 25,699
  4. Step 4: Simplify right side
    18,154x = 660,438,601
  5. Step 5: Solve for x
    x = 660,438,601/18,154
  6. Step 6: Final answer
    x = 36,379.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.