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Finding the Third Proportional to 38,016 and 83,322

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Solution

The third proportional to 38,016 and 83,322 is: 182,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016 : 83,322 = 83,322 : x
  2. Step 2: Convert to fraction form
    38,016/83,322 = 83,322/x
  3. Step 3: Cross multiply
    38,016x = 83,322 × 83,322
  4. Step 4: Simplify right side
    38,016x = 6,942,555,684
  5. Step 5: Solve for x
    x = 6,942,555,684/38,016
  6. Step 6: Final answer
    x = 182,621.94

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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.