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Finding the Third Proportional to 7,512.75 and 11,269.13

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Solution

The third proportional to 7,512.75 and 11,269.13 is: 16,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.75 : 11,269.13 = 11,269.13 : x
  2. Step 2: Convert to fraction form
    7,512.75/11,269.13 = 11,269.13/x
  3. Step 3: Cross multiply
    7,512.75x = 11,269.13 × 11,269.13
  4. Step 4: Simplify right side
    7,512.75x = 126,993,178.27
  5. Step 5: Solve for x
    x = 126,993,178.27/7,512.75
  6. Step 6: Final answer
    x = 16,903.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.