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Finding the Third Proportional to 23,164 and 25,324

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Solution

The third proportional to 23,164 and 25,324 is: 27,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164 : 25,324 = 25,324 : x
  2. Step 2: Convert to fraction form
    23,164/25,324 = 25,324/x
  3. Step 3: Cross multiply
    23,164x = 25,324 × 25,324
  4. Step 4: Simplify right side
    23,164x = 641,304,976
  5. Step 5: Solve for x
    x = 641,304,976/23,164
  6. Step 6: Final answer
    x = 27,685.42

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.