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Finding the Third Proportional to 33,998.06 and 73,202.06

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Solution

The third proportional to 33,998.06 and 73,202.06 is: 157,613.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998.06 : 73,202.06 = 73,202.06 : x
  2. Step 2: Convert to fraction form
    33,998.06/73,202.06 = 73,202.06/x
  3. Step 3: Cross multiply
    33,998.06x = 73,202.06 × 73,202.06
  4. Step 4: Simplify right side
    33,998.06x = 5,358,541,954.25
  5. Step 5: Solve for x
    x = 5,358,541,954.25/33,998.06
  6. Step 6: Final answer
    x = 157,613.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.