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Finding the Third Proportional to 8,123 and 11,896.25

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Solution

The third proportional to 8,123 and 11,896.25 is: 17,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123 : 11,896.25 = 11,896.25 : x
  2. Step 2: Convert to fraction form
    8,123/11,896.25 = 11,896.25/x
  3. Step 3: Cross multiply
    8,123x = 11,896.25 × 11,896.25
  4. Step 4: Simplify right side
    8,123x = 141,520,764.06
  5. Step 5: Solve for x
    x = 141,520,764.06/8,123
  6. Step 6: Final answer
    x = 17,422.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.