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Finding the Third Proportional to 33,653.25 and 52,795.13

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Solution

The third proportional to 33,653.25 and 52,795.13 is: 82,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653.25 : 52,795.13 = 52,795.13 : x
  2. Step 2: Convert to fraction form
    33,653.25/52,795.13 = 52,795.13/x
  3. Step 3: Cross multiply
    33,653.25x = 52,795.13 × 52,795.13
  4. Step 4: Simplify right side
    33,653.25x = 2,787,325,223.77
  5. Step 5: Solve for x
    x = 2,787,325,223.77/33,653.25
  6. Step 6: Final answer
    x = 82,824.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.