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Finding the Third Proportional to 3,664 and 8,350

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Solution

The third proportional to 3,664 and 8,350 is: 19,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664 : 8,350 = 8,350 : x
  2. Step 2: Convert to fraction form
    3,664/8,350 = 8,350/x
  3. Step 3: Cross multiply
    3,664x = 8,350 × 8,350
  4. Step 4: Simplify right side
    3,664x = 69,722,500
  5. Step 5: Solve for x
    x = 69,722,500/3,664
  6. Step 6: Final answer
    x = 19,029.07

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.