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Finding the Third Proportional to 3,399.19 and 5,252.63

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Solution

The third proportional to 3,399.19 and 5,252.63 is: 8,116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.19 : 5,252.63 = 5,252.63 : x
  2. Step 2: Convert to fraction form
    3,399.19/5,252.63 = 5,252.63/x
  3. Step 3: Cross multiply
    3,399.19x = 5,252.63 × 5,252.63
  4. Step 4: Simplify right side
    3,399.19x = 27,590,069.39
  5. Step 5: Solve for x
    x = 27,590,069.39/3,399.19
  6. Step 6: Final answer
    x = 8,116.67

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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.