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Finding the Third Proportional to 2,978.25 and 6,747

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Solution

The third proportional to 2,978.25 and 6,747 is: 15,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.25 : 6,747 = 6,747 : x
  2. Step 2: Convert to fraction form
    2,978.25/6,747 = 6,747/x
  3. Step 3: Cross multiply
    2,978.25x = 6,747 × 6,747
  4. Step 4: Simplify right side
    2,978.25x = 45,522,009
  5. Step 5: Solve for x
    x = 45,522,009/2,978.25
  6. Step 6: Final answer
    x = 15,284.82

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.