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Finding the Third Proportional to 7,322.91 and 17,092.27

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Solution

The third proportional to 7,322.91 and 17,092.27 is: 39,894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.91 : 17,092.27 = 17,092.27 : x
  2. Step 2: Convert to fraction form
    7,322.91/17,092.27 = 17,092.27/x
  3. Step 3: Cross multiply
    7,322.91x = 17,092.27 × 17,092.27
  4. Step 4: Simplify right side
    7,322.91x = 292,145,544.20
  5. Step 5: Solve for x
    x = 292,145,544.20/7,322.91
  6. Step 6: Final answer
    x = 39,894.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.