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Finding the Third Proportional to 7,556.41 and 11,739.94

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Solution

The third proportional to 7,556.41 and 11,739.94 is: 18,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.41 : 11,739.94 = 11,739.94 : x
  2. Step 2: Convert to fraction form
    7,556.41/11,739.94 = 11,739.94/x
  3. Step 3: Cross multiply
    7,556.41x = 11,739.94 × 11,739.94
  4. Step 4: Simplify right side
    7,556.41x = 137,826,132.50
  5. Step 5: Solve for x
    x = 137,826,132.50/7,556.41
  6. Step 6: Final answer
    x = 18,239.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.