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Finding the Third Proportional to 1,706.06 and 2,194.59

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Solution

The third proportional to 1,706.06 and 2,194.59 is: 2,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.06 : 2,194.59 = 2,194.59 : x
  2. Step 2: Convert to fraction form
    1,706.06/2,194.59 = 2,194.59/x
  3. Step 3: Cross multiply
    1,706.06x = 2,194.59 × 2,194.59
  4. Step 4: Simplify right side
    1,706.06x = 4,816,241.73
  5. Step 5: Solve for x
    x = 4,816,241.73/1,706.06
  6. Step 6: Final answer
    x = 2,823.02

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.