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Finding the Third Proportional to 896.25 and 1,980.50

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Solution

The third proportional to 896.25 and 1,980.50 is: 4,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.25 : 1,980.50 = 1,980.50 : x
  2. Step 2: Convert to fraction form
    896.25/1,980.50 = 1,980.50/x
  3. Step 3: Cross multiply
    896.25x = 1,980.50 × 1,980.50
  4. Step 4: Simplify right side
    896.25x = 3,922,380.25
  5. Step 5: Solve for x
    x = 3,922,380.25/896.25
  6. Step 6: Final answer
    x = 4,376.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.