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Finding the Third Proportional to 11,311.31 and 12,336.75

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Solution

The third proportional to 11,311.31 and 12,336.75 is: 13,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.31 : 12,336.75 = 12,336.75 : x
  2. Step 2: Convert to fraction form
    11,311.31/12,336.75 = 12,336.75/x
  3. Step 3: Cross multiply
    11,311.31x = 12,336.75 × 12,336.75
  4. Step 4: Simplify right side
    11,311.31x = 152,195,400.56
  5. Step 5: Solve for x
    x = 152,195,400.56/11,311.31
  6. Step 6: Final answer
    x = 13,455.15

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.