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Finding the Third Proportional to 1,850.70 and 3,955.78

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Solution

The third proportional to 1,850.70 and 3,955.78 is: 8,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.70 : 3,955.78 = 3,955.78 : x
  2. Step 2: Convert to fraction form
    1,850.70/3,955.78 = 3,955.78/x
  3. Step 3: Cross multiply
    1,850.70x = 3,955.78 × 3,955.78
  4. Step 4: Simplify right side
    1,850.70x = 15,648,205.30
  5. Step 5: Solve for x
    x = 15,648,205.30/1,850.70
  6. Step 6: Final answer
    x = 8,455.31

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.