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Finding the Third Proportional to 1,742 and 2,274

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Solution

The third proportional to 1,742 and 2,274 is: 2,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742 : 2,274 = 2,274 : x
  2. Step 2: Convert to fraction form
    1,742/2,274 = 2,274/x
  3. Step 3: Cross multiply
    1,742x = 2,274 × 2,274
  4. Step 4: Simplify right side
    1,742x = 5,171,076
  5. Step 5: Solve for x
    x = 5,171,076/1,742
  6. Step 6: Final answer
    x = 2,968.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.