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Finding the Third Proportional to 12,702 and 18,396

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Solution

The third proportional to 12,702 and 18,396 is: 26,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702 : 18,396 = 18,396 : x
  2. Step 2: Convert to fraction form
    12,702/18,396 = 18,396/x
  3. Step 3: Cross multiply
    12,702x = 18,396 × 18,396
  4. Step 4: Simplify right side
    12,702x = 338,412,816
  5. Step 5: Solve for x
    x = 338,412,816/12,702
  6. Step 6: Final answer
    x = 26,642.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.