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Finding the Third Proportional to 5,876 and 6,788

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Solution

The third proportional to 5,876 and 6,788 is: 7,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876 : 6,788 = 6,788 : x
  2. Step 2: Convert to fraction form
    5,876/6,788 = 6,788/x
  3. Step 3: Cross multiply
    5,876x = 6,788 × 6,788
  4. Step 4: Simplify right side
    5,876x = 46,076,944
  5. Step 5: Solve for x
    x = 46,076,944/5,876
  6. Step 6: Final answer
    x = 7,841.55

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.