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Finding the Third Proportional to 2,034 and 3,673

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Solution

The third proportional to 2,034 and 3,673 is: 6,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 3,673 = 3,673 : x
  2. Step 2: Convert to fraction form
    2,034/3,673 = 3,673/x
  3. Step 3: Cross multiply
    2,034x = 3,673 × 3,673
  4. Step 4: Simplify right side
    2,034x = 13,490,929
  5. Step 5: Solve for x
    x = 13,490,929/2,034
  6. Step 6: Final answer
    x = 6,632.71

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.