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Finding the Third Proportional to 23,498 and 35,238

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Solution

The third proportional to 23,498 and 35,238 is: 52,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498 : 35,238 = 35,238 : x
  2. Step 2: Convert to fraction form
    23,498/35,238 = 35,238/x
  3. Step 3: Cross multiply
    23,498x = 35,238 × 35,238
  4. Step 4: Simplify right side
    23,498x = 1,241,716,644
  5. Step 5: Solve for x
    x = 1,241,716,644/23,498
  6. Step 6: Final answer
    x = 52,843.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.