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Finding the Third Proportional to 2,719.97 and 5,795.72

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Solution

The third proportional to 2,719.97 and 5,795.72 is: 12,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.97 : 5,795.72 = 5,795.72 : x
  2. Step 2: Convert to fraction form
    2,719.97/5,795.72 = 5,795.72/x
  3. Step 3: Cross multiply
    2,719.97x = 5,795.72 × 5,795.72
  4. Step 4: Simplify right side
    2,719.97x = 33,590,355.83
  5. Step 5: Solve for x
    x = 33,590,355.83/2,719.97
  6. Step 6: Final answer
    x = 12,349.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.