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Finding the Third Proportional to 13,231 and 18,139

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Solution

The third proportional to 13,231 and 18,139 is: 24,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231 : 18,139 = 18,139 : x
  2. Step 2: Convert to fraction form
    13,231/18,139 = 18,139/x
  3. Step 3: Cross multiply
    13,231x = 18,139 × 18,139
  4. Step 4: Simplify right side
    13,231x = 329,023,321
  5. Step 5: Solve for x
    x = 329,023,321/13,231
  6. Step 6: Final answer
    x = 24,867.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.