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Finding the Third Proportional to 10,943.44 and 16,255.69

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Solution

The third proportional to 10,943.44 and 16,255.69 is: 24,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.44 : 16,255.69 = 16,255.69 : x
  2. Step 2: Convert to fraction form
    10,943.44/16,255.69 = 16,255.69/x
  3. Step 3: Cross multiply
    10,943.44x = 16,255.69 × 16,255.69
  4. Step 4: Simplify right side
    10,943.44x = 264,247,376.10
  5. Step 5: Solve for x
    x = 264,247,376.10/10,943.44
  6. Step 6: Final answer
    x = 24,146.65

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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.