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Finding the Third Proportional to 1,786 and 3,876

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Solution

The third proportional to 1,786 and 3,876 is: 8,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 3,876 = 3,876 : x
  2. Step 2: Convert to fraction form
    1,786/3,876 = 3,876/x
  3. Step 3: Cross multiply
    1,786x = 3,876 × 3,876
  4. Step 4: Simplify right side
    1,786x = 15,023,376
  5. Step 5: Solve for x
    x = 15,023,376/1,786
  6. Step 6: Final answer
    x = 8,411.74

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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.