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Finding the Third Proportional to 1,195.07 and 1,984.82

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Solution

The third proportional to 1,195.07 and 1,984.82 is: 3,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.07 : 1,984.82 = 1,984.82 : x
  2. Step 2: Convert to fraction form
    1,195.07/1,984.82 = 1,984.82/x
  3. Step 3: Cross multiply
    1,195.07x = 1,984.82 × 1,984.82
  4. Step 4: Simplify right side
    1,195.07x = 3,939,496.17
  5. Step 5: Solve for x
    x = 3,939,496.17/1,195.07
  6. Step 6: Final answer
    x = 3,296.47

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.