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Finding the Third Proportional to 949.44 and 1,974.50

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Solution

The third proportional to 949.44 and 1,974.50 is: 4,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.44 : 1,974.50 = 1,974.50 : x
  2. Step 2: Convert to fraction form
    949.44/1,974.50 = 1,974.50/x
  3. Step 3: Cross multiply
    949.44x = 1,974.50 × 1,974.50
  4. Step 4: Simplify right side
    949.44x = 3,898,650.25
  5. Step 5: Solve for x
    x = 3,898,650.25/949.44
  6. Step 6: Final answer
    x = 4,106.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.