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Finding the Third Proportional to 3,208.75 and 4,799.88

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Solution

The third proportional to 3,208.75 and 4,799.88 is: 7,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.75 : 4,799.88 = 4,799.88 : x
  2. Step 2: Convert to fraction form
    3,208.75/4,799.88 = 4,799.88/x
  3. Step 3: Cross multiply
    3,208.75x = 4,799.88 × 4,799.88
  4. Step 4: Simplify right side
    3,208.75x = 23,038,800.02
  5. Step 5: Solve for x
    x = 23,038,800.02/3,208.75
  6. Step 6: Final answer
    x = 7,179.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.