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Finding the Third Proportional to 22,876 and 34,975

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Solution

The third proportional to 22,876 and 34,975 is: 53,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876 : 34,975 = 34,975 : x
  2. Step 2: Convert to fraction form
    22,876/34,975 = 34,975/x
  3. Step 3: Cross multiply
    22,876x = 34,975 × 34,975
  4. Step 4: Simplify right side
    22,876x = 1,223,250,625
  5. Step 5: Solve for x
    x = 1,223,250,625/22,876
  6. Step 6: Final answer
    x = 53,473.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.