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Finding the Third Proportional to 1,283.63 and 2,772.19

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Solution

The third proportional to 1,283.63 and 2,772.19 is: 5,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.63 : 2,772.19 = 2,772.19 : x
  2. Step 2: Convert to fraction form
    1,283.63/2,772.19 = 2,772.19/x
  3. Step 3: Cross multiply
    1,283.63x = 2,772.19 × 2,772.19
  4. Step 4: Simplify right side
    1,283.63x = 7,685,023.54
  5. Step 5: Solve for x
    x = 7,685,023.54/1,283.63
  6. Step 6: Final answer
    x = 5,986.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.