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Finding the Third Proportional to 21,903 and 33,009

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Solution

The third proportional to 21,903 and 33,009 is: 49,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,903 : 33,009 = 33,009 : x
  2. Step 2: Convert to fraction form
    21,903/33,009 = 33,009/x
  3. Step 3: Cross multiply
    21,903x = 33,009 × 33,009
  4. Step 4: Simplify right side
    21,903x = 1,089,594,081
  5. Step 5: Solve for x
    x = 1,089,594,081/21,903
  6. Step 6: Final answer
    x = 49,746.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.