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Finding the Third Proportional to 43,651.50 and 69,228

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Solution

The third proportional to 43,651.50 and 69,228 is: 109,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,651.50 : 69,228 = 69,228 : x
  2. Step 2: Convert to fraction form
    43,651.50/69,228 = 69,228/x
  3. Step 3: Cross multiply
    43,651.50x = 69,228 × 69,228
  4. Step 4: Simplify right side
    43,651.50x = 4,792,515,984
  5. Step 5: Solve for x
    x = 4,792,515,984/43,651.50
  6. Step 6: Final answer
    x = 109,790.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.