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Finding the Third Proportional to 6,642 and 7,974

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Solution

The third proportional to 6,642 and 7,974 is: 9,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642 : 7,974 = 7,974 : x
  2. Step 2: Convert to fraction form
    6,642/7,974 = 7,974/x
  3. Step 3: Cross multiply
    6,642x = 7,974 × 7,974
  4. Step 4: Simplify right side
    6,642x = 63,584,676
  5. Step 5: Solve for x
    x = 63,584,676/6,642
  6. Step 6: Final answer
    x = 9,573.12

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.