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Finding the Third Proportional to 33,863 and 74,288

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Solution

The third proportional to 33,863 and 74,288 is: 162,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863 : 74,288 = 74,288 : x
  2. Step 2: Convert to fraction form
    33,863/74,288 = 74,288/x
  3. Step 3: Cross multiply
    33,863x = 74,288 × 74,288
  4. Step 4: Simplify right side
    33,863x = 5,518,706,944
  5. Step 5: Solve for x
    x = 5,518,706,944/33,863
  6. Step 6: Final answer
    x = 162,971.59

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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.