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Finding the Third Proportional to 1,794.14 and 2,628.56

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Solution

The third proportional to 1,794.14 and 2,628.56 is: 3,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.14 : 2,628.56 = 2,628.56 : x
  2. Step 2: Convert to fraction form
    1,794.14/2,628.56 = 2,628.56/x
  3. Step 3: Cross multiply
    1,794.14x = 2,628.56 × 2,628.56
  4. Step 4: Simplify right side
    1,794.14x = 6,909,352.37
  5. Step 5: Solve for x
    x = 6,909,352.37/1,794.14
  6. Step 6: Final answer
    x = 3,851.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.