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Finding the Third Proportional to 11,773.50 and 16,500.56

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Solution

The third proportional to 11,773.50 and 16,500.56 is: 23,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.50 : 16,500.56 = 16,500.56 : x
  2. Step 2: Convert to fraction form
    11,773.50/16,500.56 = 16,500.56/x
  3. Step 3: Cross multiply
    11,773.50x = 16,500.56 × 16,500.56
  4. Step 4: Simplify right side
    11,773.50x = 272,268,562.82
  5. Step 5: Solve for x
    x = 272,268,562.82/11,773.50
  6. Step 6: Final answer
    x = 23,125.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.