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Finding the Third Proportional to 7,372.27 and 11,063.46

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Solution

The third proportional to 7,372.27 and 11,063.46 is: 16,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,372.27 : 11,063.46 = 11,063.46 : x
  2. Step 2: Convert to fraction form
    7,372.27/11,063.46 = 11,063.46/x
  3. Step 3: Cross multiply
    7,372.27x = 11,063.46 × 11,063.46
  4. Step 4: Simplify right side
    7,372.27x = 122,400,167.92
  5. Step 5: Solve for x
    x = 122,400,167.92/7,372.27
  6. Step 6: Final answer
    x = 16,602.79

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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.