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Finding the Third Proportional to 6,518 and 7,094

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Solution

The third proportional to 6,518 and 7,094 is: 7,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518 : 7,094 = 7,094 : x
  2. Step 2: Convert to fraction form
    6,518/7,094 = 7,094/x
  3. Step 3: Cross multiply
    6,518x = 7,094 × 7,094
  4. Step 4: Simplify right side
    6,518x = 50,324,836
  5. Step 5: Solve for x
    x = 50,324,836/6,518
  6. Step 6: Final answer
    x = 7,720.90

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.