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Finding the Third Proportional to 4,450 and 6,895

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Solution

The third proportional to 4,450 and 6,895 is: 10,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450 : 6,895 = 6,895 : x
  2. Step 2: Convert to fraction form
    4,450/6,895 = 6,895/x
  3. Step 3: Cross multiply
    4,450x = 6,895 × 6,895
  4. Step 4: Simplify right side
    4,450x = 47,541,025
  5. Step 5: Solve for x
    x = 47,541,025/4,450
  6. Step 6: Final answer
    x = 10,683.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.