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Finding the Third Proportional to 2,296 and 6,108

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Solution

The third proportional to 2,296 and 6,108 is: 16,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296 : 6,108 = 6,108 : x
  2. Step 2: Convert to fraction form
    2,296/6,108 = 6,108/x
  3. Step 3: Cross multiply
    2,296x = 6,108 × 6,108
  4. Step 4: Simplify right side
    2,296x = 37,307,664
  5. Step 5: Solve for x
    x = 37,307,664/2,296
  6. Step 6: Final answer
    x = 16,248.98

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.