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Finding the Third Proportional to 2,978 and 6,532

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Solution

The third proportional to 2,978 and 6,532 is: 14,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 6,532 = 6,532 : x
  2. Step 2: Convert to fraction form
    2,978/6,532 = 6,532/x
  3. Step 3: Cross multiply
    2,978x = 6,532 × 6,532
  4. Step 4: Simplify right side
    2,978x = 42,667,024
  5. Step 5: Solve for x
    x = 42,667,024/2,978
  6. Step 6: Final answer
    x = 14,327.41

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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.