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Finding the Third Proportional to 5,919 and 9,235

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Solution

The third proportional to 5,919 and 9,235 is: 14,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919 : 9,235 = 9,235 : x
  2. Step 2: Convert to fraction form
    5,919/9,235 = 9,235/x
  3. Step 3: Cross multiply
    5,919x = 9,235 × 9,235
  4. Step 4: Simplify right side
    5,919x = 85,285,225
  5. Step 5: Solve for x
    x = 85,285,225/5,919
  6. Step 6: Final answer
    x = 14,408.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.