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Finding the Third Proportional to 33,004 and 54,180

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Solution

The third proportional to 33,004 and 54,180 is: 88,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004 : 54,180 = 54,180 : x
  2. Step 2: Convert to fraction form
    33,004/54,180 = 54,180/x
  3. Step 3: Cross multiply
    33,004x = 54,180 × 54,180
  4. Step 4: Simplify right side
    33,004x = 2,935,472,400
  5. Step 5: Solve for x
    x = 2,935,472,400/33,004
  6. Step 6: Final answer
    x = 88,942.93

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.