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Finding the Third Proportional to 23,957 and 52,622

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Solution

The third proportional to 23,957 and 52,622 is: 115,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957 : 52,622 = 52,622 : x
  2. Step 2: Convert to fraction form
    23,957/52,622 = 52,622/x
  3. Step 3: Cross multiply
    23,957x = 52,622 × 52,622
  4. Step 4: Simplify right side
    23,957x = 2,769,074,884
  5. Step 5: Solve for x
    x = 2,769,074,884/23,957
  6. Step 6: Final answer
    x = 115,585.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.