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Finding the Third Proportional to 3,523 and 8,245

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Solution

The third proportional to 3,523 and 8,245 is: 19,296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523 : 8,245 = 8,245 : x
  2. Step 2: Convert to fraction form
    3,523/8,245 = 8,245/x
  3. Step 3: Cross multiply
    3,523x = 8,245 × 8,245
  4. Step 4: Simplify right side
    3,523x = 67,980,025
  5. Step 5: Solve for x
    x = 67,980,025/3,523
  6. Step 6: Final answer
    x = 19,296.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.