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Finding the Third Proportional to 2,556.56 and 4,725.84

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Solution

The third proportional to 2,556.56 and 4,725.84 is: 8,735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.56 : 4,725.84 = 4,725.84 : x
  2. Step 2: Convert to fraction form
    2,556.56/4,725.84 = 4,725.84/x
  3. Step 3: Cross multiply
    2,556.56x = 4,725.84 × 4,725.84
  4. Step 4: Simplify right side
    2,556.56x = 22,333,599.15
  5. Step 5: Solve for x
    x = 22,333,599.15/2,556.56
  6. Step 6: Final answer
    x = 8,735.79

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.