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Finding the Third Proportional to 6,673 and 14,355

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Solution

The third proportional to 6,673 and 14,355 is: 30,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673 : 14,355 = 14,355 : x
  2. Step 2: Convert to fraction form
    6,673/14,355 = 14,355/x
  3. Step 3: Cross multiply
    6,673x = 14,355 × 14,355
  4. Step 4: Simplify right side
    6,673x = 206,066,025
  5. Step 5: Solve for x
    x = 206,066,025/6,673
  6. Step 6: Final answer
    x = 30,880.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.