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Finding the Third Proportional to 2,357.56 and 2,556.69

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Solution

The third proportional to 2,357.56 and 2,556.69 is: 2,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.56 : 2,556.69 = 2,556.69 : x
  2. Step 2: Convert to fraction form
    2,357.56/2,556.69 = 2,556.69/x
  3. Step 3: Cross multiply
    2,357.56x = 2,556.69 × 2,556.69
  4. Step 4: Simplify right side
    2,357.56x = 6,536,650.97
  5. Step 5: Solve for x
    x = 6,536,650.97/2,357.56
  6. Step 6: Final answer
    x = 2,772.63

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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.