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Finding the Third Proportional to 12,546.56 and 18,821.53

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Solution

The third proportional to 12,546.56 and 18,821.53 is: 28,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.56 : 18,821.53 = 18,821.53 : x
  2. Step 2: Convert to fraction form
    12,546.56/18,821.53 = 18,821.53/x
  3. Step 3: Cross multiply
    12,546.56x = 18,821.53 × 18,821.53
  4. Step 4: Simplify right side
    12,546.56x = 354,250,038.59
  5. Step 5: Solve for x
    x = 354,250,038.59/12,546.56
  6. Step 6: Final answer
    x = 28,234.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.