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Finding the Third Proportional to 5,876 and 6,516

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Solution

The third proportional to 5,876 and 6,516 is: 7,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876 : 6,516 = 6,516 : x
  2. Step 2: Convert to fraction form
    5,876/6,516 = 6,516/x
  3. Step 3: Cross multiply
    5,876x = 6,516 × 6,516
  4. Step 4: Simplify right side
    5,876x = 42,458,256
  5. Step 5: Solve for x
    x = 42,458,256/5,876
  6. Step 6: Final answer
    x = 7,225.71

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.