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Finding the Third Proportional to 33,966.84 and 74,494.69

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Solution

The third proportional to 33,966.84 and 74,494.69 is: 163,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966.84 : 74,494.69 = 74,494.69 : x
  2. Step 2: Convert to fraction form
    33,966.84/74,494.69 = 74,494.69/x
  3. Step 3: Cross multiply
    33,966.84x = 74,494.69 × 74,494.69
  4. Step 4: Simplify right side
    33,966.84x = 5,549,458,465.72
  5. Step 5: Solve for x
    x = 5,549,458,465.72/33,966.84
  6. Step 6: Final answer
    x = 163,378.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.