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Finding the Third Proportional to 6,383.25 and 9,536.63

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Solution

The third proportional to 6,383.25 and 9,536.63 is: 14,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.25 : 9,536.63 = 9,536.63 : x
  2. Step 2: Convert to fraction form
    6,383.25/9,536.63 = 9,536.63/x
  3. Step 3: Cross multiply
    6,383.25x = 9,536.63 × 9,536.63
  4. Step 4: Simplify right side
    6,383.25x = 90,947,216.39
  5. Step 5: Solve for x
    x = 90,947,216.39/6,383.25
  6. Step 6: Final answer
    x = 14,247.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.