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Finding the Third Proportional to 1,201.71 and 2,625.54

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Solution

The third proportional to 1,201.71 and 2,625.54 is: 5,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.71 : 2,625.54 = 2,625.54 : x
  2. Step 2: Convert to fraction form
    1,201.71/2,625.54 = 2,625.54/x
  3. Step 3: Cross multiply
    1,201.71x = 2,625.54 × 2,625.54
  4. Step 4: Simplify right side
    1,201.71x = 6,893,455.37
  5. Step 5: Solve for x
    x = 6,893,455.37/1,201.71
  6. Step 6: Final answer
    x = 5,736.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.