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Finding the Third Proportional to 33,301.56 and 49,563.10

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Solution

The third proportional to 33,301.56 and 49,563.10 is: 73,765.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301.56 : 49,563.10 = 49,563.10 : x
  2. Step 2: Convert to fraction form
    33,301.56/49,563.10 = 49,563.10/x
  3. Step 3: Cross multiply
    33,301.56x = 49,563.10 × 49,563.10
  4. Step 4: Simplify right side
    33,301.56x = 2,456,500,988.09
  5. Step 5: Solve for x
    x = 2,456,500,988.09/33,301.56
  6. Step 6: Final answer
    x = 73,765.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.