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Finding the Third Proportional to 12,174 and 16,369

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Solution

The third proportional to 12,174 and 16,369 is: 22,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174 : 16,369 = 16,369 : x
  2. Step 2: Convert to fraction form
    12,174/16,369 = 16,369/x
  3. Step 3: Cross multiply
    12,174x = 16,369 × 16,369
  4. Step 4: Simplify right side
    12,174x = 267,944,161
  5. Step 5: Solve for x
    x = 267,944,161/12,174
  6. Step 6: Final answer
    x = 22,009.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.