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Finding the Third Proportional to 974.44 and 2,180.44

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Solution

The third proportional to 974.44 and 2,180.44 is: 4,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.44 : 2,180.44 = 2,180.44 : x
  2. Step 2: Convert to fraction form
    974.44/2,180.44 = 2,180.44/x
  3. Step 3: Cross multiply
    974.44x = 2,180.44 × 2,180.44
  4. Step 4: Simplify right side
    974.44x = 4,754,307.69
  5. Step 5: Solve for x
    x = 4,754,307.69/974.44
  6. Step 6: Final answer
    x = 4,879.03

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.