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Finding the Third Proportional to 10,474 and 16,197

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Solution

The third proportional to 10,474 and 16,197 is: 25,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474 : 16,197 = 16,197 : x
  2. Step 2: Convert to fraction form
    10,474/16,197 = 16,197/x
  3. Step 3: Cross multiply
    10,474x = 16,197 × 16,197
  4. Step 4: Simplify right side
    10,474x = 262,342,809
  5. Step 5: Solve for x
    x = 262,342,809/10,474
  6. Step 6: Final answer
    x = 25,047.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.