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Finding the Third Proportional to 981 and 1,824

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Solution

The third proportional to 981 and 1,824 is: 3,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    981 : 1,824 = 1,824 : x
  2. Step 2: Convert to fraction form
    981/1,824 = 1,824/x
  3. Step 3: Cross multiply
    981x = 1,824 × 1,824
  4. Step 4: Simplify right side
    981x = 3,326,976
  5. Step 5: Solve for x
    x = 3,326,976/981
  6. Step 6: Final answer
    x = 3,391.41

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.