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Finding the Third Proportional to 16,443 and 33,574.50

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Solution

The third proportional to 16,443 and 33,574.50 is: 68,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 33,574.50 = 33,574.50 : x
  2. Step 2: Convert to fraction form
    16,443/33,574.50 = 33,574.50/x
  3. Step 3: Cross multiply
    16,443x = 33,574.50 × 33,574.50
  4. Step 4: Simplify right side
    16,443x = 1,127,247,050.25
  5. Step 5: Solve for x
    x = 1,127,247,050.25/16,443
  6. Step 6: Final answer
    x = 68,554.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.