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Finding the Third Proportional to 50,984.44 and 71,669.81

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Solution

The third proportional to 50,984.44 and 71,669.81 is: 100,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,984.44 : 71,669.81 = 71,669.81 : x
  2. Step 2: Convert to fraction form
    50,984.44/71,669.81 = 71,669.81/x
  3. Step 3: Cross multiply
    50,984.44x = 71,669.81 × 71,669.81
  4. Step 4: Simplify right side
    50,984.44x = 5,136,562,023.79
  5. Step 5: Solve for x
    x = 5,136,562,023.79/50,984.44
  6. Step 6: Final answer
    x = 100,747.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.