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Finding the Third Proportional to 10,889.44 and 16,265.81

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Solution

The third proportional to 10,889.44 and 16,265.81 is: 24,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.44 : 16,265.81 = 16,265.81 : x
  2. Step 2: Convert to fraction form
    10,889.44/16,265.81 = 16,265.81/x
  3. Step 3: Cross multiply
    10,889.44x = 16,265.81 × 16,265.81
  4. Step 4: Simplify right side
    10,889.44x = 264,576,656.29
  5. Step 5: Solve for x
    x = 264,576,656.29/10,889.44
  6. Step 6: Final answer
    x = 24,296.63

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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.