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Finding the Third Proportional to 2,366.30 and 3,503.67

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Solution

The third proportional to 2,366.30 and 3,503.67 is: 5,187.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.30 : 3,503.67 = 3,503.67 : x
  2. Step 2: Convert to fraction form
    2,366.30/3,503.67 = 3,503.67/x
  3. Step 3: Cross multiply
    2,366.30x = 3,503.67 × 3,503.67
  4. Step 4: Simplify right side
    2,366.30x = 12,275,716.61
  5. Step 5: Solve for x
    x = 12,275,716.61/2,366.30
  6. Step 6: Final answer
    x = 5,187.73

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.