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Finding the Third Proportional to 32,244.75 and 69,369.75

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Solution

The third proportional to 32,244.75 and 69,369.75 is: 149,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,244.75 : 69,369.75 = 69,369.75 : x
  2. Step 2: Convert to fraction form
    32,244.75/69,369.75 = 69,369.75/x
  3. Step 3: Cross multiply
    32,244.75x = 69,369.75 × 69,369.75
  4. Step 4: Simplify right side
    32,244.75x = 4,812,162,215.06
  5. Step 5: Solve for x
    x = 4,812,162,215.06/32,244.75
  6. Step 6: Final answer
    x = 149,238.63

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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.