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Finding the Third Proportional to 11,293.88 and 16,777.31

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Solution

The third proportional to 11,293.88 and 16,777.31 is: 24,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,293.88 : 16,777.31 = 16,777.31 : x
  2. Step 2: Convert to fraction form
    11,293.88/16,777.31 = 16,777.31/x
  3. Step 3: Cross multiply
    11,293.88x = 16,777.31 × 16,777.31
  4. Step 4: Simplify right side
    11,293.88x = 281,478,214.72
  5. Step 5: Solve for x
    x = 281,478,214.72/11,293.88
  6. Step 6: Final answer
    x = 24,923.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.