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Finding the Third Proportional to 6,738.19 and 12,502.69

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Solution

The third proportional to 6,738.19 and 12,502.69 is: 23,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.19 : 12,502.69 = 12,502.69 : x
  2. Step 2: Convert to fraction form
    6,738.19/12,502.69 = 12,502.69/x
  3. Step 3: Cross multiply
    6,738.19x = 12,502.69 × 12,502.69
  4. Step 4: Simplify right side
    6,738.19x = 156,317,194.72
  5. Step 5: Solve for x
    x = 156,317,194.72/6,738.19
  6. Step 6: Final answer
    x = 23,198.70

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.