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Finding the Third Proportional to 4,356.56 and 6,665.63

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Solution

The third proportional to 4,356.56 and 6,665.63 is: 10,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,356.56 : 6,665.63 = 6,665.63 : x
  2. Step 2: Convert to fraction form
    4,356.56/6,665.63 = 6,665.63/x
  3. Step 3: Cross multiply
    4,356.56x = 6,665.63 × 6,665.63
  4. Step 4: Simplify right side
    4,356.56x = 44,430,556.64
  5. Step 5: Solve for x
    x = 44,430,556.64/4,356.56
  6. Step 6: Final answer
    x = 10,198.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.