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Finding the Third Proportional to 5,865 and 8,145

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Solution

The third proportional to 5,865 and 8,145 is: 11,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865 : 8,145 = 8,145 : x
  2. Step 2: Convert to fraction form
    5,865/8,145 = 8,145/x
  3. Step 3: Cross multiply
    5,865x = 8,145 × 8,145
  4. Step 4: Simplify right side
    5,865x = 66,341,025
  5. Step 5: Solve for x
    x = 66,341,025/5,865
  6. Step 6: Final answer
    x = 11,311.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.