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Finding the Third Proportional to 3,748 and 5,876

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Solution

The third proportional to 3,748 and 5,876 is: 9,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748 : 5,876 = 5,876 : x
  2. Step 2: Convert to fraction form
    3,748/5,876 = 5,876/x
  3. Step 3: Cross multiply
    3,748x = 5,876 × 5,876
  4. Step 4: Simplify right side
    3,748x = 34,527,376
  5. Step 5: Solve for x
    x = 34,527,376/3,748
  6. Step 6: Final answer
    x = 9,212.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.