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Finding the Third Proportional to 6,189 and 7,566

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Solution

The third proportional to 6,189 and 7,566 is: 9,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189 : 7,566 = 7,566 : x
  2. Step 2: Convert to fraction form
    6,189/7,566 = 7,566/x
  3. Step 3: Cross multiply
    6,189x = 7,566 × 7,566
  4. Step 4: Simplify right side
    6,189x = 57,244,356
  5. Step 5: Solve for x
    x = 57,244,356/6,189
  6. Step 6: Final answer
    x = 9,249.37

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.