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Finding the Third Proportional to 11,502 and 18,179.44

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Solution

The third proportional to 11,502 and 18,179.44 is: 28,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502 : 18,179.44 = 18,179.44 : x
  2. Step 2: Convert to fraction form
    11,502/18,179.44 = 18,179.44/x
  3. Step 3: Cross multiply
    11,502x = 18,179.44 × 18,179.44
  4. Step 4: Simplify right side
    11,502x = 330,491,947.82
  5. Step 5: Solve for x
    x = 330,491,947.82/11,502
  6. Step 6: Final answer
    x = 28,733.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.