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Finding the Third Proportional to 33,864.33 and 50,307.33

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Solution

The third proportional to 33,864.33 and 50,307.33 is: 74,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864.33 : 50,307.33 = 50,307.33 : x
  2. Step 2: Convert to fraction form
    33,864.33/50,307.33 = 50,307.33/x
  3. Step 3: Cross multiply
    33,864.33x = 50,307.33 × 50,307.33
  4. Step 4: Simplify right side
    33,864.33x = 2,530,827,263.08
  5. Step 5: Solve for x
    x = 2,530,827,263.08/33,864.33
  6. Step 6: Final answer
    x = 74,734.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.