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Finding the Third Proportional to 1,981 and 3,174

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Solution

The third proportional to 1,981 and 3,174 is: 5,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981 : 3,174 = 3,174 : x
  2. Step 2: Convert to fraction form
    1,981/3,174 = 3,174/x
  3. Step 3: Cross multiply
    1,981x = 3,174 × 3,174
  4. Step 4: Simplify right side
    1,981x = 10,074,276
  5. Step 5: Solve for x
    x = 10,074,276/1,981
  6. Step 6: Final answer
    x = 5,085.45

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.