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Finding the Third Proportional to 18,684 and 27,479.25

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Solution

The third proportional to 18,684 and 27,479.25 is: 40,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684 : 27,479.25 = 27,479.25 : x
  2. Step 2: Convert to fraction form
    18,684/27,479.25 = 27,479.25/x
  3. Step 3: Cross multiply
    18,684x = 27,479.25 × 27,479.25
  4. Step 4: Simplify right side
    18,684x = 755,109,180.56
  5. Step 5: Solve for x
    x = 755,109,180.56/18,684
  6. Step 6: Final answer
    x = 40,414.75

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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.