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Finding the Third Proportional to 1,512.11 and 3,248.46

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Solution

The third proportional to 1,512.11 and 3,248.46 is: 6,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.11 : 3,248.46 = 3,248.46 : x
  2. Step 2: Convert to fraction form
    1,512.11/3,248.46 = 3,248.46/x
  3. Step 3: Cross multiply
    1,512.11x = 3,248.46 × 3,248.46
  4. Step 4: Simplify right side
    1,512.11x = 10,552,517.50
  5. Step 5: Solve for x
    x = 10,552,517.50/1,512.11
  6. Step 6: Final answer
    x = 6,978.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.