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Finding the Third Proportional to 6,001 and 12,611

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Solution

The third proportional to 6,001 and 12,611 is: 26,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001 : 12,611 = 12,611 : x
  2. Step 2: Convert to fraction form
    6,001/12,611 = 12,611/x
  3. Step 3: Cross multiply
    6,001x = 12,611 × 12,611
  4. Step 4: Simplify right side
    6,001x = 159,037,321
  5. Step 5: Solve for x
    x = 159,037,321/6,001
  6. Step 6: Final answer
    x = 26,501.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.