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Finding the Third Proportional to 33,771.94 and 45,309.38

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Solution

The third proportional to 33,771.94 and 45,309.38 is: 60,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,771.94 : 45,309.38 = 45,309.38 : x
  2. Step 2: Convert to fraction form
    33,771.94/45,309.38 = 45,309.38/x
  3. Step 3: Cross multiply
    33,771.94x = 45,309.38 × 45,309.38
  4. Step 4: Simplify right side
    33,771.94x = 2,052,939,462.89
  5. Step 5: Solve for x
    x = 2,052,939,462.89/33,771.94
  6. Step 6: Final answer
    x = 60,788.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.