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Finding the Third Proportional to 2,978 and 6,340

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Solution

The third proportional to 2,978 and 6,340 is: 13,497.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 6,340 = 6,340 : x
  2. Step 2: Convert to fraction form
    2,978/6,340 = 6,340/x
  3. Step 3: Cross multiply
    2,978x = 6,340 × 6,340
  4. Step 4: Simplify right side
    2,978x = 40,195,600
  5. Step 5: Solve for x
    x = 40,195,600/2,978
  6. Step 6: Final answer
    x = 13,497.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.