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Finding the Third Proportional to 33,412.50 and 49,021.50

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Solution

The third proportional to 33,412.50 and 49,021.50 is: 71,922.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.50 : 49,021.50 = 49,021.50 : x
  2. Step 2: Convert to fraction form
    33,412.50/49,021.50 = 49,021.50/x
  3. Step 3: Cross multiply
    33,412.50x = 49,021.50 × 49,021.50
  4. Step 4: Simplify right side
    33,412.50x = 2,403,107,462.25
  5. Step 5: Solve for x
    x = 2,403,107,462.25/33,412.50
  6. Step 6: Final answer
    x = 71,922.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.