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Finding the Third Proportional to 11,741.63 and 25,193.25

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Solution

The third proportional to 11,741.63 and 25,193.25 is: 54,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.63 : 25,193.25 = 25,193.25 : x
  2. Step 2: Convert to fraction form
    11,741.63/25,193.25 = 25,193.25/x
  3. Step 3: Cross multiply
    11,741.63x = 25,193.25 × 25,193.25
  4. Step 4: Simplify right side
    11,741.63x = 634,699,845.56
  5. Step 5: Solve for x
    x = 634,699,845.56/11,741.63
  6. Step 6: Final answer
    x = 54,055.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.