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Finding the Third Proportional to 5,977 and 9,238

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Solution

The third proportional to 5,977 and 9,238 is: 14,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977 : 9,238 = 9,238 : x
  2. Step 2: Convert to fraction form
    5,977/9,238 = 9,238/x
  3. Step 3: Cross multiply
    5,977x = 9,238 × 9,238
  4. Step 4: Simplify right side
    5,977x = 85,340,644
  5. Step 5: Solve for x
    x = 85,340,644/5,977
  6. Step 6: Final answer
    x = 14,278.17

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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.