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Finding the Third Proportional to 11,619.28 and 18,467.16

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Solution

The third proportional to 11,619.28 and 18,467.16 is: 29,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.28 : 18,467.16 = 18,467.16 : x
  2. Step 2: Convert to fraction form
    11,619.28/18,467.16 = 18,467.16/x
  3. Step 3: Cross multiply
    11,619.28x = 18,467.16 × 18,467.16
  4. Step 4: Simplify right side
    11,619.28x = 341,035,859.96
  5. Step 5: Solve for x
    x = 341,035,859.96/11,619.28
  6. Step 6: Final answer
    x = 29,350.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.