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Finding the Third Proportional to 14,471 and 30,850

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Solution

The third proportional to 14,471 and 30,850 is: 65,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471 : 30,850 = 30,850 : x
  2. Step 2: Convert to fraction form
    14,471/30,850 = 30,850/x
  3. Step 3: Cross multiply
    14,471x = 30,850 × 30,850
  4. Step 4: Simplify right side
    14,471x = 951,722,500
  5. Step 5: Solve for x
    x = 951,722,500/14,471
  6. Step 6: Final answer
    x = 65,767.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.