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Finding the Third Proportional to 11,384.44 and 16,959.66

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Solution

The third proportional to 11,384.44 and 16,959.66 is: 25,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.44 : 16,959.66 = 16,959.66 : x
  2. Step 2: Convert to fraction form
    11,384.44/16,959.66 = 16,959.66/x
  3. Step 3: Cross multiply
    11,384.44x = 16,959.66 × 16,959.66
  4. Step 4: Simplify right side
    11,384.44x = 287,629,940.12
  5. Step 5: Solve for x
    x = 287,629,940.12/11,384.44
  6. Step 6: Final answer
    x = 25,265.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.