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Finding the Third Proportional to 25,199 and 52,471

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Solution

The third proportional to 25,199 and 52,471 is: 109,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199 : 52,471 = 52,471 : x
  2. Step 2: Convert to fraction form
    25,199/52,471 = 52,471/x
  3. Step 3: Cross multiply
    25,199x = 52,471 × 52,471
  4. Step 4: Simplify right side
    25,199x = 2,753,205,841
  5. Step 5: Solve for x
    x = 2,753,205,841/25,199
  6. Step 6: Final answer
    x = 109,258.54

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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.