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Finding the Third Proportional to 12,904.31 and 20,531.81

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Solution

The third proportional to 12,904.31 and 20,531.81 is: 32,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.31 : 20,531.81 = 20,531.81 : x
  2. Step 2: Convert to fraction form
    12,904.31/20,531.81 = 20,531.81/x
  3. Step 3: Cross multiply
    12,904.31x = 20,531.81 × 20,531.81
  4. Step 4: Simplify right side
    12,904.31x = 421,555,324.54
  5. Step 5: Solve for x
    x = 421,555,324.54/12,904.31
  6. Step 6: Final answer
    x = 32,667.79

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.