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Finding the Third Proportional to 16,102 and 33,338

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Solution

The third proportional to 16,102 and 33,338 is: 69,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102 : 33,338 = 33,338 : x
  2. Step 2: Convert to fraction form
    16,102/33,338 = 33,338/x
  3. Step 3: Cross multiply
    16,102x = 33,338 × 33,338
  4. Step 4: Simplify right side
    16,102x = 1,111,422,244
  5. Step 5: Solve for x
    x = 1,111,422,244/16,102
  6. Step 6: Final answer
    x = 69,023.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.