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Finding the Third Proportional to 11,543 and 24,622

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Solution

The third proportional to 11,543 and 24,622 is: 52,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543 : 24,622 = 24,622 : x
  2. Step 2: Convert to fraction form
    11,543/24,622 = 24,622/x
  3. Step 3: Cross multiply
    11,543x = 24,622 × 24,622
  4. Step 4: Simplify right side
    11,543x = 606,242,884
  5. Step 5: Solve for x
    x = 606,242,884/11,543
  6. Step 6: Final answer
    x = 52,520.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.