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Finding the Third Proportional to 2,966.63 and 3,993.47

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Solution

The third proportional to 2,966.63 and 3,993.47 is: 5,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.63 : 3,993.47 = 3,993.47 : x
  2. Step 2: Convert to fraction form
    2,966.63/3,993.47 = 3,993.47/x
  3. Step 3: Cross multiply
    2,966.63x = 3,993.47 × 3,993.47
  4. Step 4: Simplify right side
    2,966.63x = 15,947,792.66
  5. Step 5: Solve for x
    x = 15,947,792.66/2,966.63
  6. Step 6: Final answer
    x = 5,375.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.