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Finding the Third Proportional to 11,932 and 26,084

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Solution

The third proportional to 11,932 and 26,084 is: 57,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932 : 26,084 = 26,084 : x
  2. Step 2: Convert to fraction form
    11,932/26,084 = 26,084/x
  3. Step 3: Cross multiply
    11,932x = 26,084 × 26,084
  4. Step 4: Simplify right side
    11,932x = 680,375,056
  5. Step 5: Solve for x
    x = 680,375,056/11,932
  6. Step 6: Final answer
    x = 57,021.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.