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Finding the Third Proportional to 5,736.38 and 7,719.75

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Solution

The third proportional to 5,736.38 and 7,719.75 is: 10,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.38 : 7,719.75 = 7,719.75 : x
  2. Step 2: Convert to fraction form
    5,736.38/7,719.75 = 7,719.75/x
  3. Step 3: Cross multiply
    5,736.38x = 7,719.75 × 7,719.75
  4. Step 4: Simplify right side
    5,736.38x = 59,594,540.06
  5. Step 5: Solve for x
    x = 59,594,540.06/5,736.38
  6. Step 6: Final answer
    x = 10,388.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.