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Finding the Third Proportional to 24,362 and 33,013

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Solution

The third proportional to 24,362 and 33,013 is: 44,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362 : 33,013 = 33,013 : x
  2. Step 2: Convert to fraction form
    24,362/33,013 = 33,013/x
  3. Step 3: Cross multiply
    24,362x = 33,013 × 33,013
  4. Step 4: Simplify right side
    24,362x = 1,089,858,169
  5. Step 5: Solve for x
    x = 1,089,858,169/24,362
  6. Step 6: Final answer
    x = 44,735.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.