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Finding the Third Proportional to 2,274 and 4,197

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Solution

The third proportional to 2,274 and 4,197 is: 7,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274 : 4,197 = 4,197 : x
  2. Step 2: Convert to fraction form
    2,274/4,197 = 4,197/x
  3. Step 3: Cross multiply
    2,274x = 4,197 × 4,197
  4. Step 4: Simplify right side
    2,274x = 17,614,809
  5. Step 5: Solve for x
    x = 17,614,809/2,274
  6. Step 6: Final answer
    x = 7,746.18

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.