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Finding the Third Proportional to 23,361 and 54,843

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Solution

The third proportional to 23,361 and 54,843 is: 128,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361 : 54,843 = 54,843 : x
  2. Step 2: Convert to fraction form
    23,361/54,843 = 54,843/x
  3. Step 3: Cross multiply
    23,361x = 54,843 × 54,843
  4. Step 4: Simplify right side
    23,361x = 3,007,754,649
  5. Step 5: Solve for x
    x = 3,007,754,649/23,361
  6. Step 6: Final answer
    x = 128,751.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.