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Finding the Third Proportional to 5,910 and 10,500

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Solution

The third proportional to 5,910 and 10,500 is: 18,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910 : 10,500 = 10,500 : x
  2. Step 2: Convert to fraction form
    5,910/10,500 = 10,500/x
  3. Step 3: Cross multiply
    5,910x = 10,500 × 10,500
  4. Step 4: Simplify right side
    5,910x = 110,250,000
  5. Step 5: Solve for x
    x = 110,250,000/5,910
  6. Step 6: Final answer
    x = 18,654.82

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.