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Finding the Third Proportional to 33,419.25 and 51,816.38

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Solution

The third proportional to 33,419.25 and 51,816.38 is: 80,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.25 : 51,816.38 = 51,816.38 : x
  2. Step 2: Convert to fraction form
    33,419.25/51,816.38 = 51,816.38/x
  3. Step 3: Cross multiply
    33,419.25x = 51,816.38 × 51,816.38
  4. Step 4: Simplify right side
    33,419.25x = 2,684,936,718.14
  5. Step 5: Solve for x
    x = 2,684,936,718.14/33,419.25
  6. Step 6: Final answer
    x = 80,341.02

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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.