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Finding the Third Proportional to 5,876 and 12,656

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Solution

The third proportional to 5,876 and 12,656 is: 27,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876 : 12,656 = 12,656 : x
  2. Step 2: Convert to fraction form
    5,876/12,656 = 12,656/x
  3. Step 3: Cross multiply
    5,876x = 12,656 × 12,656
  4. Step 4: Simplify right side
    5,876x = 160,174,336
  5. Step 5: Solve for x
    x = 160,174,336/5,876
  6. Step 6: Final answer
    x = 27,259.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.