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Finding the Third Proportional to 11,479.69 and 16,826.44

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Solution

The third proportional to 11,479.69 and 16,826.44 is: 24,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,479.69 : 16,826.44 = 16,826.44 : x
  2. Step 2: Convert to fraction form
    11,479.69/16,826.44 = 16,826.44/x
  3. Step 3: Cross multiply
    11,479.69x = 16,826.44 × 16,826.44
  4. Step 4: Simplify right side
    11,479.69x = 283,128,998.94
  5. Step 5: Solve for x
    x = 283,128,998.94/11,479.69
  6. Step 6: Final answer
    x = 24,663.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.