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Finding the Third Proportional to 16,166.25 and 33,716.25

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Solution

The third proportional to 16,166.25 and 33,716.25 is: 70,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,166.25 : 33,716.25 = 33,716.25 : x
  2. Step 2: Convert to fraction form
    16,166.25/33,716.25 = 33,716.25/x
  3. Step 3: Cross multiply
    16,166.25x = 33,716.25 × 33,716.25
  4. Step 4: Simplify right side
    16,166.25x = 1,136,785,514.06
  5. Step 5: Solve for x
    x = 1,136,785,514.06/16,166.25
  6. Step 6: Final answer
    x = 70,318.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.