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Finding the Third Proportional to 11,395 and 17,245

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Solution

The third proportional to 11,395 and 17,245 is: 26,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395 : 17,245 = 17,245 : x
  2. Step 2: Convert to fraction form
    11,395/17,245 = 17,245/x
  3. Step 3: Cross multiply
    11,395x = 17,245 × 17,245
  4. Step 4: Simplify right side
    11,395x = 297,390,025
  5. Step 5: Solve for x
    x = 297,390,025/11,395
  6. Step 6: Final answer
    x = 26,098.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.