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Finding the Third Proportional to 25,620 and 38,771

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Solution

The third proportional to 25,620 and 38,771 is: 58,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620 : 38,771 = 38,771 : x
  2. Step 2: Convert to fraction form
    25,620/38,771 = 38,771/x
  3. Step 3: Cross multiply
    25,620x = 38,771 × 38,771
  4. Step 4: Simplify right side
    25,620x = 1,503,190,441
  5. Step 5: Solve for x
    x = 1,503,190,441/25,620
  6. Step 6: Final answer
    x = 58,672.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.