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Finding the Third Proportional to 11,083.92 and 24,321.66

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Solution

The third proportional to 11,083.92 and 24,321.66 is: 53,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083.92 : 24,321.66 = 24,321.66 : x
  2. Step 2: Convert to fraction form
    11,083.92/24,321.66 = 24,321.66/x
  3. Step 3: Cross multiply
    11,083.92x = 24,321.66 × 24,321.66
  4. Step 4: Simplify right side
    11,083.92x = 591,542,962.74
  5. Step 5: Solve for x
    x = 591,542,962.74/11,083.92
  6. Step 6: Final answer
    x = 53,369.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.