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Finding the Third Proportional to 2,168.96 and 4,738.97

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Solution

The third proportional to 2,168.96 and 4,738.97 is: 10,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.96 : 4,738.97 = 4,738.97 : x
  2. Step 2: Convert to fraction form
    2,168.96/4,738.97 = 4,738.97/x
  3. Step 3: Cross multiply
    2,168.96x = 4,738.97 × 4,738.97
  4. Step 4: Simplify right side
    2,168.96x = 22,457,880.35
  5. Step 5: Solve for x
    x = 22,457,880.35/2,168.96
  6. Step 6: Final answer
    x = 10,354.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.