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Finding the Third Proportional to 5,702 and 8,085

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Solution

The third proportional to 5,702 and 8,085 is: 11,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 8,085 = 8,085 : x
  2. Step 2: Convert to fraction form
    5,702/8,085 = 8,085/x
  3. Step 3: Cross multiply
    5,702x = 8,085 × 8,085
  4. Step 4: Simplify right side
    5,702x = 65,367,225
  5. Step 5: Solve for x
    x = 65,367,225/5,702
  6. Step 6: Final answer
    x = 11,463.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.