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Finding the Third Proportional to 33,297 and 73,155.75

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Solution

The third proportional to 33,297 and 73,155.75 is: 160,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,297 : 73,155.75 = 73,155.75 : x
  2. Step 2: Convert to fraction form
    33,297/73,155.75 = 73,155.75/x
  3. Step 3: Cross multiply
    33,297x = 73,155.75 × 73,155.75
  4. Step 4: Simplify right side
    33,297x = 5,351,763,758.06
  5. Step 5: Solve for x
    x = 5,351,763,758.06/33,297
  6. Step 6: Final answer
    x = 160,728.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.