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Finding the Third Proportional to 1,185.26 and 2,598.33

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Solution

The third proportional to 1,185.26 and 2,598.33 is: 5,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.26 : 2,598.33 = 2,598.33 : x
  2. Step 2: Convert to fraction form
    1,185.26/2,598.33 = 2,598.33/x
  3. Step 3: Cross multiply
    1,185.26x = 2,598.33 × 2,598.33
  4. Step 4: Simplify right side
    1,185.26x = 6,751,309.05
  5. Step 5: Solve for x
    x = 6,751,309.05/1,185.26
  6. Step 6: Final answer
    x = 5,696.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.