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Finding the Third Proportional to 30,861 and 68,141.25

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Solution

The third proportional to 30,861 and 68,141.25 is: 150,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,861 : 68,141.25 = 68,141.25 : x
  2. Step 2: Convert to fraction form
    30,861/68,141.25 = 68,141.25/x
  3. Step 3: Cross multiply
    30,861x = 68,141.25 × 68,141.25
  4. Step 4: Simplify right side
    30,861x = 4,643,229,951.56
  5. Step 5: Solve for x
    x = 4,643,229,951.56/30,861
  6. Step 6: Final answer
    x = 150,456.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.