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Finding the Third Proportional to 3,741.82 and 8,106.33

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Solution

The third proportional to 3,741.82 and 8,106.33 is: 17,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.82 : 8,106.33 = 8,106.33 : x
  2. Step 2: Convert to fraction form
    3,741.82/8,106.33 = 8,106.33/x
  3. Step 3: Cross multiply
    3,741.82x = 8,106.33 × 8,106.33
  4. Step 4: Simplify right side
    3,741.82x = 65,712,555.67
  5. Step 5: Solve for x
    x = 65,712,555.67/3,741.82
  6. Step 6: Final answer
    x = 17,561.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.