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Finding the Third Proportional to 33,554.25 and 46,230.75

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Solution

The third proportional to 33,554.25 and 46,230.75 is: 63,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,554.25 : 46,230.75 = 46,230.75 : x
  2. Step 2: Convert to fraction form
    33,554.25/46,230.75 = 46,230.75/x
  3. Step 3: Cross multiply
    33,554.25x = 46,230.75 × 46,230.75
  4. Step 4: Simplify right side
    33,554.25x = 2,137,282,245.56
  5. Step 5: Solve for x
    x = 2,137,282,245.56/33,554.25
  6. Step 6: Final answer
    x = 63,696.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.