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Finding the Third Proportional to 3,900.66 and 6,283.69

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Solution

The third proportional to 3,900.66 and 6,283.69 is: 10,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.66 : 6,283.69 = 6,283.69 : x
  2. Step 2: Convert to fraction form
    3,900.66/6,283.69 = 6,283.69/x
  3. Step 3: Cross multiply
    3,900.66x = 6,283.69 × 6,283.69
  4. Step 4: Simplify right side
    3,900.66x = 39,484,728.60
  5. Step 5: Solve for x
    x = 39,484,728.60/3,900.66
  6. Step 6: Final answer
    x = 10,122.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.