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Finding the Third Proportional to 3,477.94 and 8,224.03

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Solution

The third proportional to 3,477.94 and 8,224.03 is: 19,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.94 : 8,224.03 = 8,224.03 : x
  2. Step 2: Convert to fraction form
    3,477.94/8,224.03 = 8,224.03/x
  3. Step 3: Cross multiply
    3,477.94x = 8,224.03 × 8,224.03
  4. Step 4: Simplify right side
    3,477.94x = 67,634,690.00
  5. Step 5: Solve for x
    x = 67,634,690.00/3,477.94
  6. Step 6: Final answer
    x = 19,446.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.