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Finding the Third Proportional to 4,137.75 and 6,583.78

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Solution

The third proportional to 4,137.75 and 6,583.78 is: 10,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.75 : 6,583.78 = 6,583.78 : x
  2. Step 2: Convert to fraction form
    4,137.75/6,583.78 = 6,583.78/x
  3. Step 3: Cross multiply
    4,137.75x = 6,583.78 × 6,583.78
  4. Step 4: Simplify right side
    4,137.75x = 43,346,175.55
  5. Step 5: Solve for x
    x = 43,346,175.55/4,137.75
  6. Step 6: Final answer
    x = 10,475.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.