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Finding the Third Proportional to 25,851 and 54,762

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Solution

The third proportional to 25,851 and 54,762 is: 116,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851 : 54,762 = 54,762 : x
  2. Step 2: Convert to fraction form
    25,851/54,762 = 54,762/x
  3. Step 3: Cross multiply
    25,851x = 54,762 × 54,762
  4. Step 4: Simplify right side
    25,851x = 2,998,876,644
  5. Step 5: Solve for x
    x = 2,998,876,644/25,851
  6. Step 6: Final answer
    x = 116,006.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.