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Finding the Third Proportional to 33,252.75 and 73,890

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Solution

The third proportional to 33,252.75 and 73,890 is: 164,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,252.75 : 73,890 = 73,890 : x
  2. Step 2: Convert to fraction form
    33,252.75/73,890 = 73,890/x
  3. Step 3: Cross multiply
    33,252.75x = 73,890 × 73,890
  4. Step 4: Simplify right side
    33,252.75x = 5,459,732,100
  5. Step 5: Solve for x
    x = 5,459,732,100/33,252.75
  6. Step 6: Final answer
    x = 164,188.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.