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Finding the Third Proportional to 8,406.28 and 18,111.09

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Solution

The third proportional to 8,406.28 and 18,111.09 is: 39,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.28 : 18,111.09 = 18,111.09 : x
  2. Step 2: Convert to fraction form
    8,406.28/18,111.09 = 18,111.09/x
  3. Step 3: Cross multiply
    8,406.28x = 18,111.09 × 18,111.09
  4. Step 4: Simplify right side
    8,406.28x = 328,011,716.82
  5. Step 5: Solve for x
    x = 328,011,716.82/8,406.28
  6. Step 6: Final answer
    x = 39,019.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.