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Finding the Third Proportional to 3,539.25 and 8,303.63

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Solution

The third proportional to 3,539.25 and 8,303.63 is: 19,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.25 : 8,303.63 = 8,303.63 : x
  2. Step 2: Convert to fraction form
    3,539.25/8,303.63 = 8,303.63/x
  3. Step 3: Cross multiply
    3,539.25x = 8,303.63 × 8,303.63
  4. Step 4: Simplify right side
    3,539.25x = 68,950,188.14
  5. Step 5: Solve for x
    x = 68,950,188.14/3,539.25
  6. Step 6: Final answer
    x = 19,481.58

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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.