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Finding the Third Proportional to 6,299.86 and 9,267.33

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Solution

The third proportional to 6,299.86 and 9,267.33 is: 13,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.86 : 9,267.33 = 9,267.33 : x
  2. Step 2: Convert to fraction form
    6,299.86/9,267.33 = 9,267.33/x
  3. Step 3: Cross multiply
    6,299.86x = 9,267.33 × 9,267.33
  4. Step 4: Simplify right side
    6,299.86x = 85,883,370.58
  5. Step 5: Solve for x
    x = 85,883,370.58/6,299.86
  6. Step 6: Final answer
    x = 13,632.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.