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Finding the Third Proportional to 5,063.25 and 10,676.63

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Solution

The third proportional to 5,063.25 and 10,676.63 is: 22,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.25 : 10,676.63 = 10,676.63 : x
  2. Step 2: Convert to fraction form
    5,063.25/10,676.63 = 10,676.63/x
  3. Step 3: Cross multiply
    5,063.25x = 10,676.63 × 10,676.63
  4. Step 4: Simplify right side
    5,063.25x = 113,990,321.39
  5. Step 5: Solve for x
    x = 113,990,321.39/5,063.25
  6. Step 6: Final answer
    x = 22,513.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.