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Finding the Third Proportional to 25,274 and 39,244

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Solution

The third proportional to 25,274 and 39,244 is: 60,935.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274 : 39,244 = 39,244 : x
  2. Step 2: Convert to fraction form
    25,274/39,244 = 39,244/x
  3. Step 3: Cross multiply
    25,274x = 39,244 × 39,244
  4. Step 4: Simplify right side
    25,274x = 1,540,091,536
  5. Step 5: Solve for x
    x = 1,540,091,536/25,274
  6. Step 6: Final answer
    x = 60,935.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.