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Finding the Third Proportional to 23,769 and 33,229

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Solution

The third proportional to 23,769 and 33,229 is: 46,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 33,229 = 33,229 : x
  2. Step 2: Convert to fraction form
    23,769/33,229 = 33,229/x
  3. Step 3: Cross multiply
    23,769x = 33,229 × 33,229
  4. Step 4: Simplify right side
    23,769x = 1,104,166,441
  5. Step 5: Solve for x
    x = 1,104,166,441/23,769
  6. Step 6: Final answer
    x = 46,454.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.