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Finding the Third Proportional to 6,434 and 8,690

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Solution

The third proportional to 6,434 and 8,690 is: 11,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 8,690 = 8,690 : x
  2. Step 2: Convert to fraction form
    6,434/8,690 = 8,690/x
  3. Step 3: Cross multiply
    6,434x = 8,690 × 8,690
  4. Step 4: Simplify right side
    6,434x = 75,516,100
  5. Step 5: Solve for x
    x = 75,516,100/6,434
  6. Step 6: Final answer
    x = 11,737.04

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.