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Finding the Third Proportional to 4,861.69 and 10,213.31

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Solution

The third proportional to 4,861.69 and 10,213.31 is: 21,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.69 : 10,213.31 = 10,213.31 : x
  2. Step 2: Convert to fraction form
    4,861.69/10,213.31 = 10,213.31/x
  3. Step 3: Cross multiply
    4,861.69x = 10,213.31 × 10,213.31
  4. Step 4: Simplify right side
    4,861.69x = 104,311,752.22
  5. Step 5: Solve for x
    x = 104,311,752.22/4,861.69
  6. Step 6: Final answer
    x = 21,455.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.