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Finding the Third Proportional to 794.14 and 1,711.09

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Solution

The third proportional to 794.14 and 1,711.09 is: 3,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.14 : 1,711.09 = 1,711.09 : x
  2. Step 2: Convert to fraction form
    794.14/1,711.09 = 1,711.09/x
  3. Step 3: Cross multiply
    794.14x = 1,711.09 × 1,711.09
  4. Step 4: Simplify right side
    794.14x = 2,927,813.41
  5. Step 5: Solve for x
    x = 2,927,813.41/794.14
  6. Step 6: Final answer
    x = 3,686.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.