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Finding the Third Proportional to 3,712.50 and 8,243.44

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Solution

The third proportional to 3,712.50 and 8,243.44 is: 18,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.50 : 8,243.44 = 8,243.44 : x
  2. Step 2: Convert to fraction form
    3,712.50/8,243.44 = 8,243.44/x
  3. Step 3: Cross multiply
    3,712.50x = 8,243.44 × 8,243.44
  4. Step 4: Simplify right side
    3,712.50x = 67,954,261.82
  5. Step 5: Solve for x
    x = 67,954,261.82/3,712.50
  6. Step 6: Final answer
    x = 18,304.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.