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Finding the Third Proportional to 6,218.81 and 9,629.44

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Solution

The third proportional to 6,218.81 and 9,629.44 is: 14,910.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.81 : 9,629.44 = 9,629.44 : x
  2. Step 2: Convert to fraction form
    6,218.81/9,629.44 = 9,629.44/x
  3. Step 3: Cross multiply
    6,218.81x = 9,629.44 × 9,629.44
  4. Step 4: Simplify right side
    6,218.81x = 92,726,066.57
  5. Step 5: Solve for x
    x = 92,726,066.57/6,218.81
  6. Step 6: Final answer
    x = 14,910.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.