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Finding the Third Proportional to 11,378 and 26,105

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Solution

The third proportional to 11,378 and 26,105 is: 59,893.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378 : 26,105 = 26,105 : x
  2. Step 2: Convert to fraction form
    11,378/26,105 = 26,105/x
  3. Step 3: Cross multiply
    11,378x = 26,105 × 26,105
  4. Step 4: Simplify right side
    11,378x = 681,471,025
  5. Step 5: Solve for x
    x = 681,471,025/11,378
  6. Step 6: Final answer
    x = 59,893.74

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.