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Finding the Third Proportional to 982.44 and 1,533.46

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Solution

The third proportional to 982.44 and 1,533.46 is: 2,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.44 : 1,533.46 = 1,533.46 : x
  2. Step 2: Convert to fraction form
    982.44/1,533.46 = 1,533.46/x
  3. Step 3: Cross multiply
    982.44x = 1,533.46 × 1,533.46
  4. Step 4: Simplify right side
    982.44x = 2,351,508.44
  5. Step 5: Solve for x
    x = 2,351,508.44/982.44
  6. Step 6: Final answer
    x = 2,393.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.