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Finding the Third Proportional to 33,741 and 53,615.25

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Solution

The third proportional to 33,741 and 53,615.25 is: 85,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,741 : 53,615.25 = 53,615.25 : x
  2. Step 2: Convert to fraction form
    33,741/53,615.25 = 53,615.25/x
  3. Step 3: Cross multiply
    33,741x = 53,615.25 × 53,615.25
  4. Step 4: Simplify right side
    33,741x = 2,874,595,032.56
  5. Step 5: Solve for x
    x = 2,874,595,032.56/33,741
  6. Step 6: Final answer
    x = 85,195.91

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.