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Finding the Third Proportional to 855.13 and 1,841.13

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Solution

The third proportional to 855.13 and 1,841.13 is: 3,964.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.13 : 1,841.13 = 1,841.13 : x
  2. Step 2: Convert to fraction form
    855.13/1,841.13 = 1,841.13/x
  3. Step 3: Cross multiply
    855.13x = 1,841.13 × 1,841.13
  4. Step 4: Simplify right side
    855.13x = 3,389,741.27
  5. Step 5: Solve for x
    x = 3,389,741.27/855.13
  6. Step 6: Final answer
    x = 3,964.03

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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.