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Finding the Third Proportional to 796.31 and 1,701.61

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Solution

The third proportional to 796.31 and 1,701.61 is: 3,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.31 : 1,701.61 = 1,701.61 : x
  2. Step 2: Convert to fraction form
    796.31/1,701.61 = 1,701.61/x
  3. Step 3: Cross multiply
    796.31x = 1,701.61 × 1,701.61
  4. Step 4: Simplify right side
    796.31x = 2,895,474.47
  5. Step 5: Solve for x
    x = 2,895,474.47/796.31
  6. Step 6: Final answer
    x = 3,636.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.