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Finding the Third Proportional to 11,468.67 and 16,150.64

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Solution

The third proportional to 11,468.67 and 16,150.64 is: 22,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,468.67 : 16,150.64 = 16,150.64 : x
  2. Step 2: Convert to fraction form
    11,468.67/16,150.64 = 16,150.64/x
  3. Step 3: Cross multiply
    11,468.67x = 16,150.64 × 16,150.64
  4. Step 4: Simplify right side
    11,468.67x = 260,843,192.60
  5. Step 5: Solve for x
    x = 260,843,192.60/11,468.67
  6. Step 6: Final answer
    x = 22,743.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.