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Finding the Third Proportional to 18,159 and 25,005

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Solution

The third proportional to 18,159 and 25,005 is: 34,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,159 : 25,005 = 25,005 : x
  2. Step 2: Convert to fraction form
    18,159/25,005 = 25,005/x
  3. Step 3: Cross multiply
    18,159x = 25,005 × 25,005
  4. Step 4: Simplify right side
    18,159x = 625,250,025
  5. Step 5: Solve for x
    x = 625,250,025/18,159
  6. Step 6: Final answer
    x = 34,431.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.