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Finding the Third Proportional to 2,658.45 and 5,777.58

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Solution

The third proportional to 2,658.45 and 5,777.58 is: 12,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.45 : 5,777.58 = 5,777.58 : x
  2. Step 2: Convert to fraction form
    2,658.45/5,777.58 = 5,777.58/x
  3. Step 3: Cross multiply
    2,658.45x = 5,777.58 × 5,777.58
  4. Step 4: Simplify right side
    2,658.45x = 33,380,408.99
  5. Step 5: Solve for x
    x = 33,380,408.99/2,658.45
  6. Step 6: Final answer
    x = 12,556.36

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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.