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Finding the Third Proportional to 33,685.88 and 46,716.75

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Solution

The third proportional to 33,685.88 and 46,716.75 is: 64,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,685.88 : 46,716.75 = 46,716.75 : x
  2. Step 2: Convert to fraction form
    33,685.88/46,716.75 = 46,716.75/x
  3. Step 3: Cross multiply
    33,685.88x = 46,716.75 × 46,716.75
  4. Step 4: Simplify right side
    33,685.88x = 2,182,454,730.56
  5. Step 5: Solve for x
    x = 2,182,454,730.56/33,685.88
  6. Step 6: Final answer
    x = 64,788.42

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.