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Finding the Third Proportional to 25,154 and 52,375

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Solution

The third proportional to 25,154 and 52,375 is: 109,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154 : 52,375 = 52,375 : x
  2. Step 2: Convert to fraction form
    25,154/52,375 = 52,375/x
  3. Step 3: Cross multiply
    25,154x = 52,375 × 52,375
  4. Step 4: Simplify right side
    25,154x = 2,743,140,625
  5. Step 5: Solve for x
    x = 2,743,140,625/25,154
  6. Step 6: Final answer
    x = 109,053.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.