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Finding the Third Proportional to 33,001 and 48,009

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Solution

The third proportional to 33,001 and 48,009 is: 69,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,001 : 48,009 = 48,009 : x
  2. Step 2: Convert to fraction form
    33,001/48,009 = 48,009/x
  3. Step 3: Cross multiply
    33,001x = 48,009 × 48,009
  4. Step 4: Simplify right side
    33,001x = 2,304,864,081
  5. Step 5: Solve for x
    x = 2,304,864,081/33,001
  6. Step 6: Final answer
    x = 69,842.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.