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Finding the Third Proportional to 3,318 and 3,763.50

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Solution

The third proportional to 3,318 and 3,763.50 is: 4,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318 : 3,763.50 = 3,763.50 : x
  2. Step 2: Convert to fraction form
    3,318/3,763.50 = 3,763.50/x
  3. Step 3: Cross multiply
    3,318x = 3,763.50 × 3,763.50
  4. Step 4: Simplify right side
    3,318x = 14,163,932.25
  5. Step 5: Solve for x
    x = 14,163,932.25/3,318
  6. Step 6: Final answer
    x = 4,268.82

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.