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Finding the Third Proportional to 6,233.81 and 13,527.31

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Solution

The third proportional to 6,233.81 and 13,527.31 is: 29,354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.81 : 13,527.31 = 13,527.31 : x
  2. Step 2: Convert to fraction form
    6,233.81/13,527.31 = 13,527.31/x
  3. Step 3: Cross multiply
    6,233.81x = 13,527.31 × 13,527.31
  4. Step 4: Simplify right side
    6,233.81x = 182,988,183.47
  5. Step 5: Solve for x
    x = 182,988,183.47/6,233.81
  6. Step 6: Final answer
    x = 29,354.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.