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Finding the Third Proportional to 33,419.25 and 69,594.19

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Solution

The third proportional to 33,419.25 and 69,594.19 is: 144,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.25 : 69,594.19 = 69,594.19 : x
  2. Step 2: Convert to fraction form
    33,419.25/69,594.19 = 69,594.19/x
  3. Step 3: Cross multiply
    33,419.25x = 69,594.19 × 69,594.19
  4. Step 4: Simplify right side
    33,419.25x = 4,843,350,933.79
  5. Step 5: Solve for x
    x = 4,843,350,933.79/33,419.25
  6. Step 6: Final answer
    x = 144,926.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.