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Finding the Third Proportional to 11,439.56 and 16,424.44

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Solution

The third proportional to 11,439.56 and 16,424.44 is: 23,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.56 : 16,424.44 = 16,424.44 : x
  2. Step 2: Convert to fraction form
    11,439.56/16,424.44 = 16,424.44/x
  3. Step 3: Cross multiply
    11,439.56x = 16,424.44 × 16,424.44
  4. Step 4: Simplify right side
    11,439.56x = 269,762,147.19
  5. Step 5: Solve for x
    x = 269,762,147.19/11,439.56
  6. Step 6: Final answer
    x = 23,581.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.