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Finding the Third Proportional to 23,441 and 35,167

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Solution

The third proportional to 23,441 and 35,167 is: 52,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441 : 35,167 = 35,167 : x
  2. Step 2: Convert to fraction form
    23,441/35,167 = 35,167/x
  3. Step 3: Cross multiply
    23,441x = 35,167 × 35,167
  4. Step 4: Simplify right side
    23,441x = 1,236,717,889
  5. Step 5: Solve for x
    x = 1,236,717,889/23,441
  6. Step 6: Final answer
    x = 52,758.75

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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.