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Finding the Third Proportional to 11,671.75 and 25,611

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Solution

The third proportional to 11,671.75 and 25,611 is: 56,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.75 : 25,611 = 25,611 : x
  2. Step 2: Convert to fraction form
    11,671.75/25,611 = 25,611/x
  3. Step 3: Cross multiply
    11,671.75x = 25,611 × 25,611
  4. Step 4: Simplify right side
    11,671.75x = 655,923,321
  5. Step 5: Solve for x
    x = 655,923,321/11,671.75
  6. Step 6: Final answer
    x = 56,197.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.