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Finding the Third Proportional to 6,198 and 9,385

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Solution

The third proportional to 6,198 and 9,385 is: 14,210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 9,385 = 9,385 : x
  2. Step 2: Convert to fraction form
    6,198/9,385 = 9,385/x
  3. Step 3: Cross multiply
    6,198x = 9,385 × 9,385
  4. Step 4: Simplify right side
    6,198x = 88,078,225
  5. Step 5: Solve for x
    x = 88,078,225/6,198
  6. Step 6: Final answer
    x = 14,210.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.