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Finding the Third Proportional to 6,500 and 14,108

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Solution

The third proportional to 6,500 and 14,108 is: 30,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 14,108 = 14,108 : x
  2. Step 2: Convert to fraction form
    6,500/14,108 = 14,108/x
  3. Step 3: Cross multiply
    6,500x = 14,108 × 14,108
  4. Step 4: Simplify right side
    6,500x = 199,035,664
  5. Step 5: Solve for x
    x = 199,035,664/6,500
  6. Step 6: Final answer
    x = 30,620.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.