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Finding the Third Proportional to 3,175.14 and 4,912.21

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Solution

The third proportional to 3,175.14 and 4,912.21 is: 7,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.14 : 4,912.21 = 4,912.21 : x
  2. Step 2: Convert to fraction form
    3,175.14/4,912.21 = 4,912.21/x
  3. Step 3: Cross multiply
    3,175.14x = 4,912.21 × 4,912.21
  4. Step 4: Simplify right side
    3,175.14x = 24,129,777.92
  5. Step 5: Solve for x
    x = 24,129,777.92/3,175.14
  6. Step 6: Final answer
    x = 7,599.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.