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Finding the Third Proportional to 3,817.76 and 9,194.13

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Solution

The third proportional to 3,817.76 and 9,194.13 is: 22,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.76 : 9,194.13 = 9,194.13 : x
  2. Step 2: Convert to fraction form
    3,817.76/9,194.13 = 9,194.13/x
  3. Step 3: Cross multiply
    3,817.76x = 9,194.13 × 9,194.13
  4. Step 4: Simplify right side
    3,817.76x = 84,532,078.17
  5. Step 5: Solve for x
    x = 84,532,078.17/3,817.76
  6. Step 6: Final answer
    x = 22,141.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.