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Finding the Third Proportional to 2,033 and 3,177

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Solution

The third proportional to 2,033 and 3,177 is: 4,964.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033 : 3,177 = 3,177 : x
  2. Step 2: Convert to fraction form
    2,033/3,177 = 3,177/x
  3. Step 3: Cross multiply
    2,033x = 3,177 × 3,177
  4. Step 4: Simplify right side
    2,033x = 10,093,329
  5. Step 5: Solve for x
    x = 10,093,329/2,033
  6. Step 6: Final answer
    x = 4,964.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.