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Finding the Third Proportional to 5,001 and 10,611

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Solution

The third proportional to 5,001 and 10,611 is: 22,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001 : 10,611 = 10,611 : x
  2. Step 2: Convert to fraction form
    5,001/10,611 = 10,611/x
  3. Step 3: Cross multiply
    5,001x = 10,611 × 10,611
  4. Step 4: Simplify right side
    5,001x = 112,593,321
  5. Step 5: Solve for x
    x = 112,593,321/5,001
  6. Step 6: Final answer
    x = 22,514.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.