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Finding the Third Proportional to 33,465.25 and 69,705

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Solution

The third proportional to 33,465.25 and 69,705 is: 145,189.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,465.25 : 69,705 = 69,705 : x
  2. Step 2: Convert to fraction form
    33,465.25/69,705 = 69,705/x
  3. Step 3: Cross multiply
    33,465.25x = 69,705 × 69,705
  4. Step 4: Simplify right side
    33,465.25x = 4,858,787,025
  5. Step 5: Solve for x
    x = 4,858,787,025/33,465.25
  6. Step 6: Final answer
    x = 145,189.03

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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.