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Finding the Third Proportional to 796.29 and 1,648.48

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Solution

The third proportional to 796.29 and 1,648.48 is: 3,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.29 : 1,648.48 = 1,648.48 : x
  2. Step 2: Convert to fraction form
    796.29/1,648.48 = 1,648.48/x
  3. Step 3: Cross multiply
    796.29x = 1,648.48 × 1,648.48
  4. Step 4: Simplify right side
    796.29x = 2,717,474.98
  5. Step 5: Solve for x
    x = 2,717,474.98/796.29
  6. Step 6: Final answer
    x = 3,412.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.