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Finding the Third Proportional to 7,340 and 13,876

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Solution

The third proportional to 7,340 and 13,876 is: 26,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340 : 13,876 = 13,876 : x
  2. Step 2: Convert to fraction form
    7,340/13,876 = 13,876/x
  3. Step 3: Cross multiply
    7,340x = 13,876 × 13,876
  4. Step 4: Simplify right side
    7,340x = 192,543,376
  5. Step 5: Solve for x
    x = 192,543,376/7,340
  6. Step 6: Final answer
    x = 26,232.07

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.