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Finding the Third Proportional to 18,766.69 and 27,874.13

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Solution

The third proportional to 18,766.69 and 27,874.13 is: 41,401.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766.69 : 27,874.13 = 27,874.13 : x
  2. Step 2: Convert to fraction form
    18,766.69/27,874.13 = 27,874.13/x
  3. Step 3: Cross multiply
    18,766.69x = 27,874.13 × 27,874.13
  4. Step 4: Simplify right side
    18,766.69x = 776,966,844.52
  5. Step 5: Solve for x
    x = 776,966,844.52/18,766.69
  6. Step 6: Final answer
    x = 41,401.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.