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Finding the Third Proportional to 2,367.35 and 3,505.15

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Solution

The third proportional to 2,367.35 and 3,505.15 is: 5,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.35 : 3,505.15 = 3,505.15 : x
  2. Step 2: Convert to fraction form
    2,367.35/3,505.15 = 3,505.15/x
  3. Step 3: Cross multiply
    2,367.35x = 3,505.15 × 3,505.15
  4. Step 4: Simplify right side
    2,367.35x = 12,286,065.57
  5. Step 5: Solve for x
    x = 12,286,065.57/2,367.35
  6. Step 6: Final answer
    x = 5,189.79

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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.