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Finding the Third Proportional to 4,714.88 and 10,361.25

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Solution

The third proportional to 4,714.88 and 10,361.25 is: 22,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.88 : 10,361.25 = 10,361.25 : x
  2. Step 2: Convert to fraction form
    4,714.88/10,361.25 = 10,361.25/x
  3. Step 3: Cross multiply
    4,714.88x = 10,361.25 × 10,361.25
  4. Step 4: Simplify right side
    4,714.88x = 107,355,501.56
  5. Step 5: Solve for x
    x = 107,355,501.56/4,714.88
  6. Step 6: Final answer
    x = 22,769.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.