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Finding the Third Proportional to 6,670 and 16,108

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Solution

The third proportional to 6,670 and 16,108 is: 38,900.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670 : 16,108 = 16,108 : x
  2. Step 2: Convert to fraction form
    6,670/16,108 = 16,108/x
  3. Step 3: Cross multiply
    6,670x = 16,108 × 16,108
  4. Step 4: Simplify right side
    6,670x = 259,467,664
  5. Step 5: Solve for x
    x = 259,467,664/6,670
  6. Step 6: Final answer
    x = 38,900.70

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.