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Finding the Third Proportional to 16,462 and 36,220

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Solution

The third proportional to 16,462 and 36,220 is: 79,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 36,220 = 36,220 : x
  2. Step 2: Convert to fraction form
    16,462/36,220 = 36,220/x
  3. Step 3: Cross multiply
    16,462x = 36,220 × 36,220
  4. Step 4: Simplify right side
    16,462x = 1,311,888,400
  5. Step 5: Solve for x
    x = 1,311,888,400/16,462
  6. Step 6: Final answer
    x = 79,691.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.