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Finding the Third Proportional to 6,110.86 and 8,716.57

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Solution

The third proportional to 6,110.86 and 8,716.57 is: 12,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110.86 : 8,716.57 = 8,716.57 : x
  2. Step 2: Convert to fraction form
    6,110.86/8,716.57 = 8,716.57/x
  3. Step 3: Cross multiply
    6,110.86x = 8,716.57 × 8,716.57
  4. Step 4: Simplify right side
    6,110.86x = 75,978,598.01
  5. Step 5: Solve for x
    x = 75,978,598.01/6,110.86
  6. Step 6: Final answer
    x = 12,433.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.