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Finding the Third Proportional to 11,291 and 24,763

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Solution

The third proportional to 11,291 and 24,763 is: 54,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291 : 24,763 = 24,763 : x
  2. Step 2: Convert to fraction form
    11,291/24,763 = 24,763/x
  3. Step 3: Cross multiply
    11,291x = 24,763 × 24,763
  4. Step 4: Simplify right side
    11,291x = 613,206,169
  5. Step 5: Solve for x
    x = 613,206,169/11,291
  6. Step 6: Final answer
    x = 54,309.29

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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.