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Finding the Third Proportional to 2,556.56 and 2,759.06

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Solution

The third proportional to 2,556.56 and 2,759.06 is: 2,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.56 : 2,759.06 = 2,759.06 : x
  2. Step 2: Convert to fraction form
    2,556.56/2,759.06 = 2,759.06/x
  3. Step 3: Cross multiply
    2,556.56x = 2,759.06 × 2,759.06
  4. Step 4: Simplify right side
    2,556.56x = 7,612,425.88
  5. Step 5: Solve for x
    x = 7,612,425.88/2,556.56
  6. Step 6: Final answer
    x = 2,977.60

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.