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Finding the Third Proportional to 20,796 and 27,468

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Solution

The third proportional to 20,796 and 27,468 is: 36,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796 : 27,468 = 27,468 : x
  2. Step 2: Convert to fraction form
    20,796/27,468 = 27,468/x
  3. Step 3: Cross multiply
    20,796x = 27,468 × 27,468
  4. Step 4: Simplify right side
    20,796x = 754,491,024
  5. Step 5: Solve for x
    x = 754,491,024/20,796
  6. Step 6: Final answer
    x = 36,280.58

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.