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Finding the Third Proportional to 33,594.75 and 49,625.16

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Solution

The third proportional to 33,594.75 and 49,625.16 is: 73,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,594.75 : 49,625.16 = 49,625.16 : x
  2. Step 2: Convert to fraction form
    33,594.75/49,625.16 = 49,625.16/x
  3. Step 3: Cross multiply
    33,594.75x = 49,625.16 × 49,625.16
  4. Step 4: Simplify right side
    33,594.75x = 2,462,656,132.84
  5. Step 5: Solve for x
    x = 2,462,656,132.84/33,594.75
  6. Step 6: Final answer
    x = 73,304.79

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.