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Finding the Third Proportional to 13,834 and 18,159

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Solution

The third proportional to 13,834 and 18,159 is: 23,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834 : 18,159 = 18,159 : x
  2. Step 2: Convert to fraction form
    13,834/18,159 = 18,159/x
  3. Step 3: Cross multiply
    13,834x = 18,159 × 18,159
  4. Step 4: Simplify right side
    13,834x = 329,749,281
  5. Step 5: Solve for x
    x = 329,749,281/13,834
  6. Step 6: Final answer
    x = 23,836.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.