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Finding the Third Proportional to 3,504.52 and 8,224.03

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Solution

The third proportional to 3,504.52 and 8,224.03 is: 19,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.52 : 8,224.03 = 8,224.03 : x
  2. Step 2: Convert to fraction form
    3,504.52/8,224.03 = 8,224.03/x
  3. Step 3: Cross multiply
    3,504.52x = 8,224.03 × 8,224.03
  4. Step 4: Simplify right side
    3,504.52x = 67,634,690.00
  5. Step 5: Solve for x
    x = 67,634,690.00/3,504.52
  6. Step 6: Final answer
    x = 19,299.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.