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Finding the Third Proportional to 23,348 and 49,976

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Solution

The third proportional to 23,348 and 49,976 is: 106,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348 : 49,976 = 49,976 : x
  2. Step 2: Convert to fraction form
    23,348/49,976 = 49,976/x
  3. Step 3: Cross multiply
    23,348x = 49,976 × 49,976
  4. Step 4: Simplify right side
    23,348x = 2,497,600,576
  5. Step 5: Solve for x
    x = 2,497,600,576/23,348
  6. Step 6: Final answer
    x = 106,972.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.