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Finding the Third Proportional to 33,368.84 and 67,660.31

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Solution

The third proportional to 33,368.84 and 67,660.31 is: 137,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368.84 : 67,660.31 = 67,660.31 : x
  2. Step 2: Convert to fraction form
    33,368.84/67,660.31 = 67,660.31/x
  3. Step 3: Cross multiply
    33,368.84x = 67,660.31 × 67,660.31
  4. Step 4: Simplify right side
    33,368.84x = 4,577,917,887.60
  5. Step 5: Solve for x
    x = 4,577,917,887.60/33,368.84
  6. Step 6: Final answer
    x = 137,191.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.