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Finding the Third Proportional to 11,205.50 and 24,517

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Solution

The third proportional to 11,205.50 and 24,517 is: 53,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.50 : 24,517 = 24,517 : x
  2. Step 2: Convert to fraction form
    11,205.50/24,517 = 24,517/x
  3. Step 3: Cross multiply
    11,205.50x = 24,517 × 24,517
  4. Step 4: Simplify right side
    11,205.50x = 601,083,289
  5. Step 5: Solve for x
    x = 601,083,289/11,205.50
  6. Step 6: Final answer
    x = 53,641.81

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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.