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Finding the Third Proportional to 6,690.94 and 14,573.81

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Solution

The third proportional to 6,690.94 and 14,573.81 is: 31,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.94 : 14,573.81 = 14,573.81 : x
  2. Step 2: Convert to fraction form
    6,690.94/14,573.81 = 14,573.81/x
  3. Step 3: Cross multiply
    6,690.94x = 14,573.81 × 14,573.81
  4. Step 4: Simplify right side
    6,690.94x = 212,396,010.79
  5. Step 5: Solve for x
    x = 212,396,010.79/6,690.94
  6. Step 6: Final answer
    x = 31,743.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.