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Finding the Third Proportional to 11,517.75 and 13,137.75

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Solution

The third proportional to 11,517.75 and 13,137.75 is: 14,985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.75 : 13,137.75 = 13,137.75 : x
  2. Step 2: Convert to fraction form
    11,517.75/13,137.75 = 13,137.75/x
  3. Step 3: Cross multiply
    11,517.75x = 13,137.75 × 13,137.75
  4. Step 4: Simplify right side
    11,517.75x = 172,600,475.06
  5. Step 5: Solve for x
    x = 172,600,475.06/11,517.75
  6. Step 6: Final answer
    x = 14,985.61

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.