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Finding the Third Proportional to 1,323.56 and 2,823.05

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Solution

The third proportional to 1,323.56 and 2,823.05 is: 6,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.56 : 2,823.05 = 2,823.05 : x
  2. Step 2: Convert to fraction form
    1,323.56/2,823.05 = 2,823.05/x
  3. Step 3: Cross multiply
    1,323.56x = 2,823.05 × 2,823.05
  4. Step 4: Simplify right side
    1,323.56x = 7,969,593.66
  5. Step 5: Solve for x
    x = 7,969,593.66/1,323.56
  6. Step 6: Final answer
    x = 6,021.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.