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Finding the Third Proportional to 8,468 and 20,018

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Solution

The third proportional to 8,468 and 20,018 is: 47,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468 : 20,018 = 20,018 : x
  2. Step 2: Convert to fraction form
    8,468/20,018 = 20,018/x
  3. Step 3: Cross multiply
    8,468x = 20,018 × 20,018
  4. Step 4: Simplify right side
    8,468x = 400,720,324
  5. Step 5: Solve for x
    x = 400,720,324/8,468
  6. Step 6: Final answer
    x = 47,321.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.