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Finding the Third Proportional to 10,005 and 23,163

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Solution

The third proportional to 10,005 and 23,163 is: 53,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005 : 23,163 = 23,163 : x
  2. Step 2: Convert to fraction form
    10,005/23,163 = 23,163/x
  3. Step 3: Cross multiply
    10,005x = 23,163 × 23,163
  4. Step 4: Simplify right side
    10,005x = 536,524,569
  5. Step 5: Solve for x
    x = 536,524,569/10,005
  6. Step 6: Final answer
    x = 53,625.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.