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Finding the Third Proportional to 23,934 and 34,261

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Solution

The third proportional to 23,934 and 34,261 is: 49,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,934 : 34,261 = 34,261 : x
  2. Step 2: Convert to fraction form
    23,934/34,261 = 34,261/x
  3. Step 3: Cross multiply
    23,934x = 34,261 × 34,261
  4. Step 4: Simplify right side
    23,934x = 1,173,816,121
  5. Step 5: Solve for x
    x = 1,173,816,121/23,934
  6. Step 6: Final answer
    x = 49,043.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.