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Finding the Third Proportional to 1,636.45 and 3,033.70

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Solution

The third proportional to 1,636.45 and 3,033.70 is: 5,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.45 : 3,033.70 = 3,033.70 : x
  2. Step 2: Convert to fraction form
    1,636.45/3,033.70 = 3,033.70/x
  3. Step 3: Cross multiply
    1,636.45x = 3,033.70 × 3,033.70
  4. Step 4: Simplify right side
    1,636.45x = 9,203,354.65
  5. Step 5: Solve for x
    x = 9,203,354.65/1,636.45
  6. Step 6: Final answer
    x = 5,623.96

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.