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Finding the Third Proportional to 1,836 and 1,872

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Solution

The third proportional to 1,836 and 1,872 is: 1,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836 : 1,872 = 1,872 : x
  2. Step 2: Convert to fraction form
    1,836/1,872 = 1,872/x
  3. Step 3: Cross multiply
    1,836x = 1,872 × 1,872
  4. Step 4: Simplify right side
    1,836x = 3,504,384
  5. Step 5: Solve for x
    x = 3,504,384/1,836
  6. Step 6: Final answer
    x = 1,908.71

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Why These Related Problems?

These problems maintain the same ratio (1.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.