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Finding the Third Proportional to 1,927.39 and 4,185.11

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Solution

The third proportional to 1,927.39 and 4,185.11 is: 9,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.39 : 4,185.11 = 4,185.11 : x
  2. Step 2: Convert to fraction form
    1,927.39/4,185.11 = 4,185.11/x
  3. Step 3: Cross multiply
    1,927.39x = 4,185.11 × 4,185.11
  4. Step 4: Simplify right side
    1,927.39x = 17,515,107.78
  5. Step 5: Solve for x
    x = 17,515,107.78/1,927.39
  6. Step 6: Final answer
    x = 9,087.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.