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Finding the Third Proportional to 14,642 and 27,268

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Solution

The third proportional to 14,642 and 27,268 is: 50,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642 : 27,268 = 27,268 : x
  2. Step 2: Convert to fraction form
    14,642/27,268 = 27,268/x
  3. Step 3: Cross multiply
    14,642x = 27,268 × 27,268
  4. Step 4: Simplify right side
    14,642x = 743,543,824
  5. Step 5: Solve for x
    x = 743,543,824/14,642
  6. Step 6: Final answer
    x = 50,781.58

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.