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Finding the Third Proportional to 14,238 and 22,876

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Solution

The third proportional to 14,238 and 22,876 is: 36,754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238 : 22,876 = 22,876 : x
  2. Step 2: Convert to fraction form
    14,238/22,876 = 22,876/x
  3. Step 3: Cross multiply
    14,238x = 22,876 × 22,876
  4. Step 4: Simplify right side
    14,238x = 523,311,376
  5. Step 5: Solve for x
    x = 523,311,376/14,238
  6. Step 6: Final answer
    x = 36,754.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.