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Finding the Third Proportional to 1,731.94 and 3,800.39

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Solution

The third proportional to 1,731.94 and 3,800.39 is: 8,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.94 : 3,800.39 = 3,800.39 : x
  2. Step 2: Convert to fraction form
    1,731.94/3,800.39 = 3,800.39/x
  3. Step 3: Cross multiply
    1,731.94x = 3,800.39 × 3,800.39
  4. Step 4: Simplify right side
    1,731.94x = 14,442,968.90
  5. Step 5: Solve for x
    x = 14,442,968.90/1,731.94
  6. Step 6: Final answer
    x = 8,339.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.