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Finding the Third Proportional to 6,150.94 and 13,498.42

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Solution

The third proportional to 6,150.94 and 13,498.42 is: 29,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.94 : 13,498.42 = 13,498.42 : x
  2. Step 2: Convert to fraction form
    6,150.94/13,498.42 = 13,498.42/x
  3. Step 3: Cross multiply
    6,150.94x = 13,498.42 × 13,498.42
  4. Step 4: Simplify right side
    6,150.94x = 182,207,465.62
  5. Step 5: Solve for x
    x = 182,207,465.62/6,150.94
  6. Step 6: Final answer
    x = 29,622.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.