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Finding the Third Proportional to 10,959.21 and 16,611.80

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Solution

The third proportional to 10,959.21 and 16,611.80 is: 25,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.21 : 16,611.80 = 16,611.80 : x
  2. Step 2: Convert to fraction form
    10,959.21/16,611.80 = 16,611.80/x
  3. Step 3: Cross multiply
    10,959.21x = 16,611.80 × 16,611.80
  4. Step 4: Simplify right side
    10,959.21x = 275,951,990.09
  5. Step 5: Solve for x
    x = 275,951,990.09/10,959.21
  6. Step 6: Final answer
    x = 25,179.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.