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Finding the Third Proportional to 5,757.75 and 12,234.38

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Solution

The third proportional to 5,757.75 and 12,234.38 is: 25,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.75 : 12,234.38 = 12,234.38 : x
  2. Step 2: Convert to fraction form
    5,757.75/12,234.38 = 12,234.38/x
  3. Step 3: Cross multiply
    5,757.75x = 12,234.38 × 12,234.38
  4. Step 4: Simplify right side
    5,757.75x = 149,679,931.64
  5. Step 5: Solve for x
    x = 149,679,931.64/5,757.75
  6. Step 6: Final answer
    x = 25,996.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.