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Finding the Third Proportional to 32,439.50 and 69,880

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Solution

The third proportional to 32,439.50 and 69,880 is: 150,532.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,439.50 : 69,880 = 69,880 : x
  2. Step 2: Convert to fraction form
    32,439.50/69,880 = 69,880/x
  3. Step 3: Cross multiply
    32,439.50x = 69,880 × 69,880
  4. Step 4: Simplify right side
    32,439.50x = 4,883,214,400
  5. Step 5: Solve for x
    x = 4,883,214,400/32,439.50
  6. Step 6: Final answer
    x = 150,532.97

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Why These Related Problems?

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