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Finding the Third Proportional to 7,471 and 16,274

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Solution

The third proportional to 7,471 and 16,274 is: 35,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471 : 16,274 = 16,274 : x
  2. Step 2: Convert to fraction form
    7,471/16,274 = 16,274/x
  3. Step 3: Cross multiply
    7,471x = 16,274 × 16,274
  4. Step 4: Simplify right side
    7,471x = 264,843,076
  5. Step 5: Solve for x
    x = 264,843,076/7,471
  6. Step 6: Final answer
    x = 35,449.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.