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Finding the Third Proportional to 21,853.50 and 33,183

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Solution

The third proportional to 21,853.50 and 33,183 is: 50,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.50 : 33,183 = 33,183 : x
  2. Step 2: Convert to fraction form
    21,853.50/33,183 = 33,183/x
  3. Step 3: Cross multiply
    21,853.50x = 33,183 × 33,183
  4. Step 4: Simplify right side
    21,853.50x = 1,101,111,489
  5. Step 5: Solve for x
    x = 1,101,111,489/21,853.50
  6. Step 6: Final answer
    x = 50,386.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.