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Finding the Third Proportional to 11,309.91 and 16,635.66

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Solution

The third proportional to 11,309.91 and 16,635.66 is: 24,469.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.91 : 16,635.66 = 16,635.66 : x
  2. Step 2: Convert to fraction form
    11,309.91/16,635.66 = 16,635.66/x
  3. Step 3: Cross multiply
    11,309.91x = 16,635.66 × 16,635.66
  4. Step 4: Simplify right side
    11,309.91x = 276,745,058.87
  5. Step 5: Solve for x
    x = 276,745,058.87/11,309.91
  6. Step 6: Final answer
    x = 24,469.26

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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.