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Finding the Third Proportional to 33,464.81 and 69,703.88

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Solution

The third proportional to 33,464.81 and 69,703.88 is: 145,186.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464.81 : 69,703.88 = 69,703.88 : x
  2. Step 2: Convert to fraction form
    33,464.81/69,703.88 = 69,703.88/x
  3. Step 3: Cross multiply
    33,464.81x = 69,703.88 × 69,703.88
  4. Step 4: Simplify right side
    33,464.81x = 4,858,630,190.02
  5. Step 5: Solve for x
    x = 4,858,630,190.02/33,464.81
  6. Step 6: Final answer
    x = 145,186.24

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