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Finding the Third Proportional to 16,027 and 34,423

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Solution

The third proportional to 16,027 and 34,423 is: 73,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027 : 34,423 = 34,423 : x
  2. Step 2: Convert to fraction form
    16,027/34,423 = 34,423/x
  3. Step 3: Cross multiply
    16,027x = 34,423 × 34,423
  4. Step 4: Simplify right side
    16,027x = 1,184,942,929
  5. Step 5: Solve for x
    x = 1,184,942,929/16,027
  6. Step 6: Final answer
    x = 73,934.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.