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Finding the Third Proportional to 33,018.50 and 72,055

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Solution

The third proportional to 33,018.50 and 72,055 is: 157,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018.50 : 72,055 = 72,055 : x
  2. Step 2: Convert to fraction form
    33,018.50/72,055 = 72,055/x
  3. Step 3: Cross multiply
    33,018.50x = 72,055 × 72,055
  4. Step 4: Simplify right side
    33,018.50x = 5,191,923,025
  5. Step 5: Solve for x
    x = 5,191,923,025/33,018.50
  6. Step 6: Final answer
    x = 157,242.85

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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.