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Finding the Third Proportional to 4,468 and 5,795

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Solution

The third proportional to 4,468 and 5,795 is: 7,516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468 : 5,795 = 5,795 : x
  2. Step 2: Convert to fraction form
    4,468/5,795 = 5,795/x
  3. Step 3: Cross multiply
    4,468x = 5,795 × 5,795
  4. Step 4: Simplify right side
    4,468x = 33,582,025
  5. Step 5: Solve for x
    x = 33,582,025/4,468
  6. Step 6: Final answer
    x = 7,516.12

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.