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Finding the Third Proportional to 25,701 and 55,218

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Solution

The third proportional to 25,701 and 55,218 is: 118,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701 : 55,218 = 55,218 : x
  2. Step 2: Convert to fraction form
    25,701/55,218 = 55,218/x
  3. Step 3: Cross multiply
    25,701x = 55,218 × 55,218
  4. Step 4: Simplify right side
    25,701x = 3,049,027,524
  5. Step 5: Solve for x
    x = 3,049,027,524/25,701
  6. Step 6: Final answer
    x = 118,634.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.