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Finding the Third Proportional to 15,224.75 and 33,209.25

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Solution

The third proportional to 15,224.75 and 33,209.25 is: 72,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.75 : 33,209.25 = 33,209.25 : x
  2. Step 2: Convert to fraction form
    15,224.75/33,209.25 = 33,209.25/x
  3. Step 3: Cross multiply
    15,224.75x = 33,209.25 × 33,209.25
  4. Step 4: Simplify right side
    15,224.75x = 1,102,854,285.56
  5. Step 5: Solve for x
    x = 1,102,854,285.56/15,224.75
  6. Step 6: Final answer
    x = 72,438.25

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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.