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Finding the Third Proportional to 33,599.50 and 48,823.07

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Solution

The third proportional to 33,599.50 and 48,823.07 is: 70,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,599.50 : 48,823.07 = 48,823.07 : x
  2. Step 2: Convert to fraction form
    33,599.50/48,823.07 = 48,823.07/x
  3. Step 3: Cross multiply
    33,599.50x = 48,823.07 × 48,823.07
  4. Step 4: Simplify right side
    33,599.50x = 2,383,691,813.31
  5. Step 5: Solve for x
    x = 2,383,691,813.31/33,599.50
  6. Step 6: Final answer
    x = 70,944.27

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.