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Finding the Third Proportional to 11,738.75 and 27,682.94

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Solution

The third proportional to 11,738.75 and 27,682.94 is: 65,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.75 : 27,682.94 = 27,682.94 : x
  2. Step 2: Convert to fraction form
    11,738.75/27,682.94 = 27,682.94/x
  3. Step 3: Cross multiply
    11,738.75x = 27,682.94 × 27,682.94
  4. Step 4: Simplify right side
    11,738.75x = 766,345,028.63
  5. Step 5: Solve for x
    x = 766,345,028.63/11,738.75
  6. Step 6: Final answer
    x = 65,283.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.