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Finding the Third Proportional to 16,209 and 33,542

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Solution

The third proportional to 16,209 and 33,542 is: 69,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209 : 33,542 = 33,542 : x
  2. Step 2: Convert to fraction form
    16,209/33,542 = 33,542/x
  3. Step 3: Cross multiply
    16,209x = 33,542 × 33,542
  4. Step 4: Simplify right side
    16,209x = 1,125,065,764
  5. Step 5: Solve for x
    x = 1,125,065,764/16,209
  6. Step 6: Final answer
    x = 69,409.94

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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.