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Finding the Third Proportional to 7,496.25 and 11,263.13

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Solution

The third proportional to 7,496.25 and 11,263.13 is: 16,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.25 : 11,263.13 = 11,263.13 : x
  2. Step 2: Convert to fraction form
    7,496.25/11,263.13 = 11,263.13/x
  3. Step 3: Cross multiply
    7,496.25x = 11,263.13 × 11,263.13
  4. Step 4: Simplify right side
    7,496.25x = 126,857,984.77
  5. Step 5: Solve for x
    x = 126,857,984.77/7,496.25
  6. Step 6: Final answer
    x = 16,922.86

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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.