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Finding the Third Proportional to 5,006 and 11,511

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Solution

The third proportional to 5,006 and 11,511 is: 26,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006 : 11,511 = 11,511 : x
  2. Step 2: Convert to fraction form
    5,006/11,511 = 11,511/x
  3. Step 3: Cross multiply
    5,006x = 11,511 × 11,511
  4. Step 4: Simplify right side
    5,006x = 132,503,121
  5. Step 5: Solve for x
    x = 132,503,121/5,006
  6. Step 6: Final answer
    x = 26,468.86

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.