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Finding the Third Proportional to 14,196 and 30,849

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Solution

The third proportional to 14,196 and 30,849 is: 67,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196 : 30,849 = 30,849 : x
  2. Step 2: Convert to fraction form
    14,196/30,849 = 30,849/x
  3. Step 3: Cross multiply
    14,196x = 30,849 × 30,849
  4. Step 4: Simplify right side
    14,196x = 951,660,801
  5. Step 5: Solve for x
    x = 951,660,801/14,196
  6. Step 6: Final answer
    x = 67,037.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.