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Finding the Third Proportional to 33,583 and 74,153

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Solution

The third proportional to 33,583 and 74,153 is: 163,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583 : 74,153 = 74,153 : x
  2. Step 2: Convert to fraction form
    33,583/74,153 = 74,153/x
  3. Step 3: Cross multiply
    33,583x = 74,153 × 74,153
  4. Step 4: Simplify right side
    33,583x = 5,498,667,409
  5. Step 5: Solve for x
    x = 5,498,667,409/33,583
  6. Step 6: Final answer
    x = 163,733.66

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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.