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Finding the Third Proportional to 6,273.70 and 8,363.91

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Solution

The third proportional to 6,273.70 and 8,363.91 is: 11,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.70 : 8,363.91 = 8,363.91 : x
  2. Step 2: Convert to fraction form
    6,273.70/8,363.91 = 8,363.91/x
  3. Step 3: Cross multiply
    6,273.70x = 8,363.91 × 8,363.91
  4. Step 4: Simplify right side
    6,273.70x = 69,954,927.76
  5. Step 5: Solve for x
    x = 69,954,927.76/6,273.70
  6. Step 6: Final answer
    x = 11,150.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.