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Finding the Third Proportional to 33,205.50 and 49,335.75

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Solution

The third proportional to 33,205.50 and 49,335.75 is: 73,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.50 : 49,335.75 = 49,335.75 : x
  2. Step 2: Convert to fraction form
    33,205.50/49,335.75 = 49,335.75/x
  3. Step 3: Cross multiply
    33,205.50x = 49,335.75 × 49,335.75
  4. Step 4: Simplify right side
    33,205.50x = 2,434,016,228.06
  5. Step 5: Solve for x
    x = 2,434,016,228.06/33,205.50
  6. Step 6: Final answer
    x = 73,301.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.