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Finding the Third Proportional to 11,149.31 and 16,324.03

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Solution

The third proportional to 11,149.31 and 16,324.03 is: 23,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.31 : 16,324.03 = 16,324.03 : x
  2. Step 2: Convert to fraction form
    11,149.31/16,324.03 = 16,324.03/x
  3. Step 3: Cross multiply
    11,149.31x = 16,324.03 × 16,324.03
  4. Step 4: Simplify right side
    11,149.31x = 266,473,996.25
  5. Step 5: Solve for x
    x = 266,473,996.25/11,149.31
  6. Step 6: Final answer
    x = 23,900.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.