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Finding the Third Proportional to 25,876 and 32,934

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Solution

The third proportional to 25,876 and 32,934 is: 41,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,876 : 32,934 = 32,934 : x
  2. Step 2: Convert to fraction form
    25,876/32,934 = 32,934/x
  3. Step 3: Cross multiply
    25,876x = 32,934 × 32,934
  4. Step 4: Simplify right side
    25,876x = 1,084,648,356
  5. Step 5: Solve for x
    x = 1,084,648,356/25,876
  6. Step 6: Final answer
    x = 41,917.16

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.