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Finding the Third Proportional to 1,674 and 1,828

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Solution

The third proportional to 1,674 and 1,828 is: 1,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674 : 1,828 = 1,828 : x
  2. Step 2: Convert to fraction form
    1,674/1,828 = 1,828/x
  3. Step 3: Cross multiply
    1,674x = 1,828 × 1,828
  4. Step 4: Simplify right side
    1,674x = 3,341,584
  5. Step 5: Solve for x
    x = 3,341,584/1,674
  6. Step 6: Final answer
    x = 1,996.17

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.