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Finding the Third Proportional to 7,381.13 and 17,227.69

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Solution

The third proportional to 7,381.13 and 17,227.69 is: 40,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.13 : 17,227.69 = 17,227.69 : x
  2. Step 2: Convert to fraction form
    7,381.13/17,227.69 = 17,227.69/x
  3. Step 3: Cross multiply
    7,381.13x = 17,227.69 × 17,227.69
  4. Step 4: Simplify right side
    7,381.13x = 296,793,216.60
  5. Step 5: Solve for x
    x = 296,793,216.60/7,381.13
  6. Step 6: Final answer
    x = 40,209.75

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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.