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Finding the Third Proportional to 6,960 and 10,197

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Solution

The third proportional to 6,960 and 10,197 is: 14,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960 : 10,197 = 10,197 : x
  2. Step 2: Convert to fraction form
    6,960/10,197 = 10,197/x
  3. Step 3: Cross multiply
    6,960x = 10,197 × 10,197
  4. Step 4: Simplify right side
    6,960x = 103,978,809
  5. Step 5: Solve for x
    x = 103,978,809/6,960
  6. Step 6: Final answer
    x = 14,939.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.