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Finding the Third Proportional to 13,562.02 and 20,329.73

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Solution

The third proportional to 13,562.02 and 20,329.73 is: 30,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.02 : 20,329.73 = 20,329.73 : x
  2. Step 2: Convert to fraction form
    13,562.02/20,329.73 = 20,329.73/x
  3. Step 3: Cross multiply
    13,562.02x = 20,329.73 × 20,329.73
  4. Step 4: Simplify right side
    13,562.02x = 413,298,099.76
  5. Step 5: Solve for x
    x = 413,298,099.76/13,562.02
  6. Step 6: Final answer
    x = 30,474.68

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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.