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Finding the Third Proportional to 982.44 and 1,376.37

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Solution

The third proportional to 982.44 and 1,376.37 is: 1,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.44 : 1,376.37 = 1,376.37 : x
  2. Step 2: Convert to fraction form
    982.44/1,376.37 = 1,376.37/x
  3. Step 3: Cross multiply
    982.44x = 1,376.37 × 1,376.37
  4. Step 4: Simplify right side
    982.44x = 1,894,386.63
  5. Step 5: Solve for x
    x = 1,894,386.63/982.44
  6. Step 6: Final answer
    x = 1,928.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.