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Finding the Third Proportional to 1,351.21 and 2,924.54

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Solution

The third proportional to 1,351.21 and 2,924.54 is: 6,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.21 : 2,924.54 = 2,924.54 : x
  2. Step 2: Convert to fraction form
    1,351.21/2,924.54 = 2,924.54/x
  3. Step 3: Cross multiply
    1,351.21x = 2,924.54 × 2,924.54
  4. Step 4: Simplify right side
    1,351.21x = 8,552,951.58
  5. Step 5: Solve for x
    x = 8,552,951.58/1,351.21
  6. Step 6: Final answer
    x = 6,329.83

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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.