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Finding the Third Proportional to 6,886 and 8,110

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Solution

The third proportional to 6,886 and 8,110 is: 9,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886 : 8,110 = 8,110 : x
  2. Step 2: Convert to fraction form
    6,886/8,110 = 8,110/x
  3. Step 3: Cross multiply
    6,886x = 8,110 × 8,110
  4. Step 4: Simplify right side
    6,886x = 65,772,100
  5. Step 5: Solve for x
    x = 65,772,100/6,886
  6. Step 6: Final answer
    x = 9,551.57

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.