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Finding the Third Proportional to 2,240.75 and 3,280

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Solution

The third proportional to 2,240.75 and 3,280 is: 4,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.75 : 3,280 = 3,280 : x
  2. Step 2: Convert to fraction form
    2,240.75/3,280 = 3,280/x
  3. Step 3: Cross multiply
    2,240.75x = 3,280 × 3,280
  4. Step 4: Simplify right side
    2,240.75x = 10,758,400
  5. Step 5: Solve for x
    x = 10,758,400/2,240.75
  6. Step 6: Final answer
    x = 4,801.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.