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Finding the Third Proportional to 3,513.94 and 7,733.81

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Solution

The third proportional to 3,513.94 and 7,733.81 is: 17,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.94 : 7,733.81 = 7,733.81 : x
  2. Step 2: Convert to fraction form
    3,513.94/7,733.81 = 7,733.81/x
  3. Step 3: Cross multiply
    3,513.94x = 7,733.81 × 7,733.81
  4. Step 4: Simplify right side
    3,513.94x = 59,811,855.79
  5. Step 5: Solve for x
    x = 59,811,855.79/3,513.94
  6. Step 6: Final answer
    x = 17,021.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.