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Finding the Third Proportional to 6,178 and 8,107

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Solution

The third proportional to 6,178 and 8,107 is: 10,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 8,107 = 8,107 : x
  2. Step 2: Convert to fraction form
    6,178/8,107 = 8,107/x
  3. Step 3: Cross multiply
    6,178x = 8,107 × 8,107
  4. Step 4: Simplify right side
    6,178x = 65,723,449
  5. Step 5: Solve for x
    x = 65,723,449/6,178
  6. Step 6: Final answer
    x = 10,638.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.