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Finding the Third Proportional to 1,984.88 and 3,789.38

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Solution

The third proportional to 1,984.88 and 3,789.38 is: 7,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.88 : 3,789.38 = 3,789.38 : x
  2. Step 2: Convert to fraction form
    1,984.88/3,789.38 = 3,789.38/x
  3. Step 3: Cross multiply
    1,984.88x = 3,789.38 × 3,789.38
  4. Step 4: Simplify right side
    1,984.88x = 14,359,362.89
  5. Step 5: Solve for x
    x = 14,359,362.89/1,984.88
  6. Step 6: Final answer
    x = 7,234.39

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.