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Finding the Third Proportional to 6,478 and 8,609

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Solution

The third proportional to 6,478 and 8,609 is: 11,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478 : 8,609 = 8,609 : x
  2. Step 2: Convert to fraction form
    6,478/8,609 = 8,609/x
  3. Step 3: Cross multiply
    6,478x = 8,609 × 8,609
  4. Step 4: Simplify right side
    6,478x = 74,114,881
  5. Step 5: Solve for x
    x = 74,114,881/6,478
  6. Step 6: Final answer
    x = 11,441.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.