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Finding the Third Proportional to 33,280.50 and 72,393

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Solution

The third proportional to 33,280.50 and 72,393 is: 157,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,280.50 : 72,393 = 72,393 : x
  2. Step 2: Convert to fraction form
    33,280.50/72,393 = 72,393/x
  3. Step 3: Cross multiply
    33,280.50x = 72,393 × 72,393
  4. Step 4: Simplify right side
    33,280.50x = 5,240,746,449
  5. Step 5: Solve for x
    x = 5,240,746,449/33,280.50
  6. Step 6: Final answer
    x = 157,471.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.