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Finding the Third Proportional to 12,324.66 and 20,023.88

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Solution

The third proportional to 12,324.66 and 20,023.88 is: 32,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.66 : 20,023.88 = 20,023.88 : x
  2. Step 2: Convert to fraction form
    12,324.66/20,023.88 = 20,023.88/x
  3. Step 3: Cross multiply
    12,324.66x = 20,023.88 × 20,023.88
  4. Step 4: Simplify right side
    12,324.66x = 400,955,570.02
  5. Step 5: Solve for x
    x = 400,955,570.02/12,324.66
  6. Step 6: Final answer
    x = 32,532.80

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.