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Finding the Third Proportional to 2,361 and 5,235

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Solution

The third proportional to 2,361 and 5,235 is: 11,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361 : 5,235 = 5,235 : x
  2. Step 2: Convert to fraction form
    2,361/5,235 = 5,235/x
  3. Step 3: Cross multiply
    2,361x = 5,235 × 5,235
  4. Step 4: Simplify right side
    2,361x = 27,405,225
  5. Step 5: Solve for x
    x = 27,405,225/2,361
  6. Step 6: Final answer
    x = 11,607.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.