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Finding the Third Proportional to 10,269 and 22,543

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Solution

The third proportional to 10,269 and 22,543 is: 49,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269 : 22,543 = 22,543 : x
  2. Step 2: Convert to fraction form
    10,269/22,543 = 22,543/x
  3. Step 3: Cross multiply
    10,269x = 22,543 × 22,543
  4. Step 4: Simplify right side
    10,269x = 508,186,849
  5. Step 5: Solve for x
    x = 508,186,849/10,269
  6. Step 6: Final answer
    x = 49,487.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.