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Finding the Third Proportional to 855.14 and 1,882.83

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Solution

The third proportional to 855.14 and 1,882.83 is: 4,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,882.83 = 1,882.83 : x
  2. Step 2: Convert to fraction form
    855.14/1,882.83 = 1,882.83/x
  3. Step 3: Cross multiply
    855.14x = 1,882.83 × 1,882.83
  4. Step 4: Simplify right side
    855.14x = 3,545,041.75
  5. Step 5: Solve for x
    x = 3,545,041.75/855.14
  6. Step 6: Final answer
    x = 4,145.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.