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Finding the Third Proportional to 15,348 and 33,923

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Solution

The third proportional to 15,348 and 33,923 is: 74,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348 : 33,923 = 33,923 : x
  2. Step 2: Convert to fraction form
    15,348/33,923 = 33,923/x
  3. Step 3: Cross multiply
    15,348x = 33,923 × 33,923
  4. Step 4: Simplify right side
    15,348x = 1,150,769,929
  5. Step 5: Solve for x
    x = 1,150,769,929/15,348
  6. Step 6: Final answer
    x = 74,978.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.