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Finding the Third Proportional to 1,884.38 and 3,963.38

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Solution

The third proportional to 1,884.38 and 3,963.38 is: 8,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.38 : 3,963.38 = 3,963.38 : x
  2. Step 2: Convert to fraction form
    1,884.38/3,963.38 = 3,963.38/x
  3. Step 3: Cross multiply
    1,884.38x = 3,963.38 × 3,963.38
  4. Step 4: Simplify right side
    1,884.38x = 15,708,341.39
  5. Step 5: Solve for x
    x = 15,708,341.39/1,884.38
  6. Step 6: Final answer
    x = 8,336.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.