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Finding the Third Proportional to 11,977 and 26,308

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Solution

The third proportional to 11,977 and 26,308 is: 57,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,977 : 26,308 = 26,308 : x
  2. Step 2: Convert to fraction form
    11,977/26,308 = 26,308/x
  3. Step 3: Cross multiply
    11,977x = 26,308 × 26,308
  4. Step 4: Simplify right side
    11,977x = 692,110,864
  5. Step 5: Solve for x
    x = 692,110,864/11,977
  6. Step 6: Final answer
    x = 57,786.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.