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Finding the Third Proportional to 10,443.66 and 16,179.09

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Solution

The third proportional to 10,443.66 and 16,179.09 is: 25,064.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.66 : 16,179.09 = 16,179.09 : x
  2. Step 2: Convert to fraction form
    10,443.66/16,179.09 = 16,179.09/x
  3. Step 3: Cross multiply
    10,443.66x = 16,179.09 × 16,179.09
  4. Step 4: Simplify right side
    10,443.66x = 261,763,074.57
  5. Step 5: Solve for x
    x = 261,763,074.57/10,443.66
  6. Step 6: Final answer
    x = 25,064.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.