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Finding the Third Proportional to 11,851 and 27,434

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Solution

The third proportional to 11,851 and 27,434 is: 63,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851 : 27,434 = 27,434 : x
  2. Step 2: Convert to fraction form
    11,851/27,434 = 27,434/x
  3. Step 3: Cross multiply
    11,851x = 27,434 × 27,434
  4. Step 4: Simplify right side
    11,851x = 752,624,356
  5. Step 5: Solve for x
    x = 752,624,356/11,851
  6. Step 6: Final answer
    x = 63,507.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.