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Finding the Third Proportional to 32,441.92 and 69,736.25

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Solution

The third proportional to 32,441.92 and 69,736.25 is: 149,903.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.92 : 69,736.25 = 69,736.25 : x
  2. Step 2: Convert to fraction form
    32,441.92/69,736.25 = 69,736.25/x
  3. Step 3: Cross multiply
    32,441.92x = 69,736.25 × 69,736.25
  4. Step 4: Simplify right side
    32,441.92x = 4,863,145,108.88
  5. Step 5: Solve for x
    x = 4,863,145,108.88/32,441.92
  6. Step 6: Final answer
    x = 149,903.10

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.