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Finding the Third Proportional to 3,246.75 and 7,012.41

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Solution

The third proportional to 3,246.75 and 7,012.41 is: 15,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.75 : 7,012.41 = 7,012.41 : x
  2. Step 2: Convert to fraction form
    3,246.75/7,012.41 = 7,012.41/x
  3. Step 3: Cross multiply
    3,246.75x = 7,012.41 × 7,012.41
  4. Step 4: Simplify right side
    3,246.75x = 49,173,841.42
  5. Step 5: Solve for x
    x = 49,173,841.42/3,246.75
  6. Step 6: Final answer
    x = 15,145.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.