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Finding the Third Proportional to 33,035.34 and 51,164.16

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Solution

The third proportional to 33,035.34 and 51,164.16 is: 79,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,035.34 : 51,164.16 = 51,164.16 : x
  2. Step 2: Convert to fraction form
    33,035.34/51,164.16 = 51,164.16/x
  3. Step 3: Cross multiply
    33,035.34x = 51,164.16 × 51,164.16
  4. Step 4: Simplify right side
    33,035.34x = 2,617,770,884.77
  5. Step 5: Solve for x
    x = 2,617,770,884.77/33,035.34
  6. Step 6: Final answer
    x = 79,241.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.