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Finding the Third Proportional to 5,795.75 and 12,232.38

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Solution

The third proportional to 5,795.75 and 12,232.38 is: 25,817.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.75 : 12,232.38 = 12,232.38 : x
  2. Step 2: Convert to fraction form
    5,795.75/12,232.38 = 12,232.38/x
  3. Step 3: Cross multiply
    5,795.75x = 12,232.38 × 12,232.38
  4. Step 4: Simplify right side
    5,795.75x = 149,630,998.14
  5. Step 5: Solve for x
    x = 149,630,998.14/5,795.75
  6. Step 6: Final answer
    x = 25,817.37

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Why These Related Problems?

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