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Finding the Third Proportional to 11,299 and 24,752

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Solution

The third proportional to 11,299 and 24,752 is: 54,222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299 : 24,752 = 24,752 : x
  2. Step 2: Convert to fraction form
    11,299/24,752 = 24,752/x
  3. Step 3: Cross multiply
    11,299x = 24,752 × 24,752
  4. Step 4: Simplify right side
    11,299x = 612,661,504
  5. Step 5: Solve for x
    x = 612,661,504/11,299
  6. Step 6: Final answer
    x = 54,222.63

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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.