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Finding the Third Proportional to 919.50 and 2,202

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Solution

The third proportional to 919.50 and 2,202 is: 5,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.50 : 2,202 = 2,202 : x
  2. Step 2: Convert to fraction form
    919.50/2,202 = 2,202/x
  3. Step 3: Cross multiply
    919.50x = 2,202 × 2,202
  4. Step 4: Simplify right side
    919.50x = 4,848,804
  5. Step 5: Solve for x
    x = 4,848,804/919.50
  6. Step 6: Final answer
    x = 5,273.31

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.