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Finding the Third Proportional to 33,194.81 and 49,779.56

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Solution

The third proportional to 33,194.81 and 49,779.56 is: 74,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,194.81 : 49,779.56 = 49,779.56 : x
  2. Step 2: Convert to fraction form
    33,194.81/49,779.56 = 49,779.56/x
  3. Step 3: Cross multiply
    33,194.81x = 49,779.56 × 49,779.56
  4. Step 4: Simplify right side
    33,194.81x = 2,478,004,842.69
  5. Step 5: Solve for x
    x = 2,478,004,842.69/33,194.81
  6. Step 6: Final answer
    x = 74,650.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.