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Finding the Third Proportional to 10,462 and 16,027

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Solution

The third proportional to 10,462 and 16,027 is: 24,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462 : 16,027 = 16,027 : x
  2. Step 2: Convert to fraction form
    10,462/16,027 = 16,027/x
  3. Step 3: Cross multiply
    10,462x = 16,027 × 16,027
  4. Step 4: Simplify right side
    10,462x = 256,864,729
  5. Step 5: Solve for x
    x = 256,864,729/10,462
  6. Step 6: Final answer
    x = 24,552.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.