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Finding the Third Proportional to 6,578 and 7,666

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Solution

The third proportional to 6,578 and 7,666 is: 8,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578 : 7,666 = 7,666 : x
  2. Step 2: Convert to fraction form
    6,578/7,666 = 7,666/x
  3. Step 3: Cross multiply
    6,578x = 7,666 × 7,666
  4. Step 4: Simplify right side
    6,578x = 58,767,556
  5. Step 5: Solve for x
    x = 58,767,556/6,578
  6. Step 6: Final answer
    x = 8,933.96

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.