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Finding the Third Proportional to 11,201 and 23,833

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Solution

The third proportional to 11,201 and 23,833 is: 50,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201 : 23,833 = 23,833 : x
  2. Step 2: Convert to fraction form
    11,201/23,833 = 23,833/x
  3. Step 3: Cross multiply
    11,201x = 23,833 × 23,833
  4. Step 4: Simplify right side
    11,201x = 568,011,889
  5. Step 5: Solve for x
    x = 568,011,889/11,201
  6. Step 6: Final answer
    x = 50,710.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.