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Finding the Third Proportional to 33,425.16 and 67,397.06

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Solution

The third proportional to 33,425.16 and 67,397.06 is: 135,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,425.16 : 67,397.06 = 67,397.06 : x
  2. Step 2: Convert to fraction form
    33,425.16/67,397.06 = 67,397.06/x
  3. Step 3: Cross multiply
    33,425.16x = 67,397.06 × 67,397.06
  4. Step 4: Simplify right side
    33,425.16x = 4,542,364,033.63
  5. Step 5: Solve for x
    x = 4,542,364,033.63/33,425.16
  6. Step 6: Final answer
    x = 135,896.57

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.