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Finding the Third Proportional to 6,866 and 10,610

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Solution

The third proportional to 6,866 and 10,610 is: 16,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866 : 10,610 = 10,610 : x
  2. Step 2: Convert to fraction form
    6,866/10,610 = 10,610/x
  3. Step 3: Cross multiply
    6,866x = 10,610 × 10,610
  4. Step 4: Simplify right side
    6,866x = 112,572,100
  5. Step 5: Solve for x
    x = 112,572,100/6,866
  6. Step 6: Final answer
    x = 16,395.59

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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.