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Finding the Third Proportional to 8,404.28 and 18,287.16

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Solution

The third proportional to 8,404.28 and 18,287.16 is: 39,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.28 : 18,287.16 = 18,287.16 : x
  2. Step 2: Convert to fraction form
    8,404.28/18,287.16 = 18,287.16/x
  3. Step 3: Cross multiply
    8,404.28x = 18,287.16 × 18,287.16
  4. Step 4: Simplify right side
    8,404.28x = 334,420,184.17
  5. Step 5: Solve for x
    x = 334,420,184.17/8,404.28
  6. Step 6: Final answer
    x = 39,791.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.