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Finding the Third Proportional to 6,642 and 9,675

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Solution

The third proportional to 6,642 and 9,675 is: 14,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642 : 9,675 = 9,675 : x
  2. Step 2: Convert to fraction form
    6,642/9,675 = 9,675/x
  3. Step 3: Cross multiply
    6,642x = 9,675 × 9,675
  4. Step 4: Simplify right side
    6,642x = 93,605,625
  5. Step 5: Solve for x
    x = 93,605,625/6,642
  6. Step 6: Final answer
    x = 14,092.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.