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Finding the Third Proportional to 6,166 and 6,646

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Solution

The third proportional to 6,166 and 6,646 is: 7,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166 : 6,646 = 6,646 : x
  2. Step 2: Convert to fraction form
    6,166/6,646 = 6,646/x
  3. Step 3: Cross multiply
    6,166x = 6,646 × 6,646
  4. Step 4: Simplify right side
    6,166x = 44,169,316
  5. Step 5: Solve for x
    x = 44,169,316/6,166
  6. Step 6: Final answer
    x = 7,163.37

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.