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Finding the Third Proportional to 1,554.19 and 3,239.37

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Solution

The third proportional to 1,554.19 and 3,239.37 is: 6,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.19 : 3,239.37 = 3,239.37 : x
  2. Step 2: Convert to fraction form
    1,554.19/3,239.37 = 3,239.37/x
  3. Step 3: Cross multiply
    1,554.19x = 3,239.37 × 3,239.37
  4. Step 4: Simplify right side
    1,554.19x = 10,493,499.78
  5. Step 5: Solve for x
    x = 10,493,499.78/1,554.19
  6. Step 6: Final answer
    x = 6,751.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.