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Finding the Third Proportional to 33,390 and 49,979

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Solution

The third proportional to 33,390 and 49,979 is: 74,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,390 : 49,979 = 49,979 : x
  2. Step 2: Convert to fraction form
    33,390/49,979 = 49,979/x
  3. Step 3: Cross multiply
    33,390x = 49,979 × 49,979
  4. Step 4: Simplify right side
    33,390x = 2,497,900,441
  5. Step 5: Solve for x
    x = 2,497,900,441/33,390
  6. Step 6: Final answer
    x = 74,809.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.