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Finding the Third Proportional to 950.50 and 2,189.50

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Solution

The third proportional to 950.50 and 2,189.50 is: 5,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.50 : 2,189.50 = 2,189.50 : x
  2. Step 2: Convert to fraction form
    950.50/2,189.50 = 2,189.50/x
  3. Step 3: Cross multiply
    950.50x = 2,189.50 × 2,189.50
  4. Step 4: Simplify right side
    950.50x = 4,793,910.25
  5. Step 5: Solve for x
    x = 4,793,910.25/950.50
  6. Step 6: Final answer
    x = 5,043.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.