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Finding the Third Proportional to 33,728.50 and 74,018

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Solution

The third proportional to 33,728.50 and 74,018 is: 162,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728.50 : 74,018 = 74,018 : x
  2. Step 2: Convert to fraction form
    33,728.50/74,018 = 74,018/x
  3. Step 3: Cross multiply
    33,728.50x = 74,018 × 74,018
  4. Step 4: Simplify right side
    33,728.50x = 5,478,664,324
  5. Step 5: Solve for x
    x = 5,478,664,324/33,728.50
  6. Step 6: Final answer
    x = 162,434.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.