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Finding the Third Proportional to 12,727.13 and 18,180.07

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Solution

The third proportional to 12,727.13 and 18,180.07 is: 25,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,727.13 : 18,180.07 = 18,180.07 : x
  2. Step 2: Convert to fraction form
    12,727.13/18,180.07 = 18,180.07/x
  3. Step 3: Cross multiply
    12,727.13x = 18,180.07 × 18,180.07
  4. Step 4: Simplify right side
    12,727.13x = 330,514,956.57
  5. Step 5: Solve for x
    x = 330,514,956.57/12,727.13
  6. Step 6: Final answer
    x = 25,969.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.