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Finding the Third Proportional to 23,931 and 52,167

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Solution

The third proportional to 23,931 and 52,167 is: 113,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931 : 52,167 = 52,167 : x
  2. Step 2: Convert to fraction form
    23,931/52,167 = 52,167/x
  3. Step 3: Cross multiply
    23,931x = 52,167 × 52,167
  4. Step 4: Simplify right side
    23,931x = 2,721,395,889
  5. Step 5: Solve for x
    x = 2,721,395,889/23,931
  6. Step 6: Final answer
    x = 113,718.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.