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Finding the Third Proportional to 1,827.75 and 3,873.56

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Solution

The third proportional to 1,827.75 and 3,873.56 is: 8,209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.75 : 3,873.56 = 3,873.56 : x
  2. Step 2: Convert to fraction form
    1,827.75/3,873.56 = 3,873.56/x
  3. Step 3: Cross multiply
    1,827.75x = 3,873.56 × 3,873.56
  4. Step 4: Simplify right side
    1,827.75x = 15,004,486.44
  5. Step 5: Solve for x
    x = 15,004,486.44/1,827.75
  6. Step 6: Final answer
    x = 8,209.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.