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Finding the Third Proportional to 855.14 and 1,740.66

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Solution

The third proportional to 855.14 and 1,740.66 is: 3,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,740.66 = 1,740.66 : x
  2. Step 2: Convert to fraction form
    855.14/1,740.66 = 1,740.66/x
  3. Step 3: Cross multiply
    855.14x = 1,740.66 × 1,740.66
  4. Step 4: Simplify right side
    855.14x = 3,029,884.18
  5. Step 5: Solve for x
    x = 3,029,884.18/855.14
  6. Step 6: Final answer
    x = 3,543.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.