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Finding the Third Proportional to 30,219.75 and 68,033.25

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Solution

The third proportional to 30,219.75 and 68,033.25 is: 153,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.75 : 68,033.25 = 68,033.25 : x
  2. Step 2: Convert to fraction form
    30,219.75/68,033.25 = 68,033.25/x
  3. Step 3: Cross multiply
    30,219.75x = 68,033.25 × 68,033.25
  4. Step 4: Simplify right side
    30,219.75x = 4,628,523,105.56
  5. Step 5: Solve for x
    x = 4,628,523,105.56/30,219.75
  6. Step 6: Final answer
    x = 153,162.19

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.