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Finding the Third Proportional to 16,065 and 33,196.50

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Solution

The third proportional to 16,065 and 33,196.50 is: 68,596.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065 : 33,196.50 = 33,196.50 : x
  2. Step 2: Convert to fraction form
    16,065/33,196.50 = 33,196.50/x
  3. Step 3: Cross multiply
    16,065x = 33,196.50 × 33,196.50
  4. Step 4: Simplify right side
    16,065x = 1,102,007,612.25
  5. Step 5: Solve for x
    x = 1,102,007,612.25/16,065
  6. Step 6: Final answer
    x = 68,596.80

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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.