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Finding the Third Proportional to 33,728 and 74,017

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Solution

The third proportional to 33,728 and 74,017 is: 162,432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,728 : 74,017 = 74,017 : x
  2. Step 2: Convert to fraction form
    33,728/74,017 = 74,017/x
  3. Step 3: Cross multiply
    33,728x = 74,017 × 74,017
  4. Step 4: Simplify right side
    33,728x = 5,478,516,289
  5. Step 5: Solve for x
    x = 5,478,516,289/33,728
  6. Step 6: Final answer
    x = 162,432.29

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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.