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Finding the Third Proportional to 6,858 and 10,663

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Solution

The third proportional to 6,858 and 10,663 is: 16,579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858 : 10,663 = 10,663 : x
  2. Step 2: Convert to fraction form
    6,858/10,663 = 10,663/x
  3. Step 3: Cross multiply
    6,858x = 10,663 × 10,663
  4. Step 4: Simplify right side
    6,858x = 113,699,569
  5. Step 5: Solve for x
    x = 113,699,569/6,858
  6. Step 6: Final answer
    x = 16,579.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.