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Finding the Third Proportional to 9,588 and 22,876

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Solution

The third proportional to 9,588 and 22,876 is: 54,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588 : 22,876 = 22,876 : x
  2. Step 2: Convert to fraction form
    9,588/22,876 = 22,876/x
  3. Step 3: Cross multiply
    9,588x = 22,876 × 22,876
  4. Step 4: Simplify right side
    9,588x = 523,311,376
  5. Step 5: Solve for x
    x = 523,311,376/9,588
  6. Step 6: Final answer
    x = 54,579.83

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.