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Finding the Third Proportional to 1,855.78 and 2,722.92

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Solution

The third proportional to 1,855.78 and 2,722.92 is: 3,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.78 : 2,722.92 = 2,722.92 : x
  2. Step 2: Convert to fraction form
    1,855.78/2,722.92 = 2,722.92/x
  3. Step 3: Cross multiply
    1,855.78x = 2,722.92 × 2,722.92
  4. Step 4: Simplify right side
    1,855.78x = 7,414,303.54
  5. Step 5: Solve for x
    x = 7,414,303.54/1,855.78
  6. Step 6: Final answer
    x = 3,995.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.