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Finding the Third Proportional to 12,724 and 18,662

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Solution

The third proportional to 12,724 and 18,662 is: 27,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724 : 18,662 = 18,662 : x
  2. Step 2: Convert to fraction form
    12,724/18,662 = 18,662/x
  3. Step 3: Cross multiply
    12,724x = 18,662 × 18,662
  4. Step 4: Simplify right side
    12,724x = 348,270,244
  5. Step 5: Solve for x
    x = 348,270,244/12,724
  6. Step 6: Final answer
    x = 27,371.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.