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Finding the Third Proportional to 2,200.50 and 5,230.69

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Solution

The third proportional to 2,200.50 and 5,230.69 is: 12,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.50 : 5,230.69 = 5,230.69 : x
  2. Step 2: Convert to fraction form
    2,200.50/5,230.69 = 5,230.69/x
  3. Step 3: Cross multiply
    2,200.50x = 5,230.69 × 5,230.69
  4. Step 4: Simplify right side
    2,200.50x = 27,360,091.72
  5. Step 5: Solve for x
    x = 27,360,091.72/2,200.50
  6. Step 6: Final answer
    x = 12,433.58

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.