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Finding the Third Proportional to 7,252 and 16,123

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Solution

The third proportional to 7,252 and 16,123 is: 35,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252 : 16,123 = 16,123 : x
  2. Step 2: Convert to fraction form
    7,252/16,123 = 16,123/x
  3. Step 3: Cross multiply
    7,252x = 16,123 × 16,123
  4. Step 4: Simplify right side
    7,252x = 259,951,129
  5. Step 5: Solve for x
    x = 259,951,129/7,252
  6. Step 6: Final answer
    x = 35,845.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.