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Finding the Third Proportional to 11,301.75 and 16,439.63

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Solution

The third proportional to 11,301.75 and 16,439.63 is: 23,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.75 : 16,439.63 = 16,439.63 : x
  2. Step 2: Convert to fraction form
    11,301.75/16,439.63 = 16,439.63/x
  3. Step 3: Cross multiply
    11,301.75x = 16,439.63 × 16,439.63
  4. Step 4: Simplify right side
    11,301.75x = 270,261,270.14
  5. Step 5: Solve for x
    x = 270,261,270.14/11,301.75
  6. Step 6: Final answer
    x = 23,913.22

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.