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Finding the Third Proportional to 3,493 and 8,297.50

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Solution

The third proportional to 3,493 and 8,297.50 is: 19,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493 : 8,297.50 = 8,297.50 : x
  2. Step 2: Convert to fraction form
    3,493/8,297.50 = 8,297.50/x
  3. Step 3: Cross multiply
    3,493x = 8,297.50 × 8,297.50
  4. Step 4: Simplify right side
    3,493x = 68,848,506.25
  5. Step 5: Solve for x
    x = 68,848,506.25/3,493
  6. Step 6: Final answer
    x = 19,710.42

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.