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Finding the Third Proportional to 16,016 and 22,520

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Solution

The third proportional to 16,016 and 22,520 is: 31,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,016 : 22,520 = 22,520 : x
  2. Step 2: Convert to fraction form
    16,016/22,520 = 22,520/x
  3. Step 3: Cross multiply
    16,016x = 22,520 × 22,520
  4. Step 4: Simplify right side
    16,016x = 507,150,400
  5. Step 5: Solve for x
    x = 507,150,400/16,016
  6. Step 6: Final answer
    x = 31,665.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.