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Finding the Third Proportional to 2,978 and 6,536

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Solution

The third proportional to 2,978 and 6,536 is: 14,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 6,536 = 6,536 : x
  2. Step 2: Convert to fraction form
    2,978/6,536 = 6,536/x
  3. Step 3: Cross multiply
    2,978x = 6,536 × 6,536
  4. Step 4: Simplify right side
    2,978x = 42,719,296
  5. Step 5: Solve for x
    x = 42,719,296/2,978
  6. Step 6: Final answer
    x = 14,344.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.