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Finding the Third Proportional to 982.75 and 2,048.75

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Solution

The third proportional to 982.75 and 2,048.75 is: 4,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.75 : 2,048.75 = 2,048.75 : x
  2. Step 2: Convert to fraction form
    982.75/2,048.75 = 2,048.75/x
  3. Step 3: Cross multiply
    982.75x = 2,048.75 × 2,048.75
  4. Step 4: Simplify right side
    982.75x = 4,197,376.56
  5. Step 5: Solve for x
    x = 4,197,376.56/982.75
  6. Step 6: Final answer
    x = 4,271.05

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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.