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Finding the Third Proportional to 1,999.69 and 3,798.14

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Solution

The third proportional to 1,999.69 and 3,798.14 is: 7,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.69 : 3,798.14 = 3,798.14 : x
  2. Step 2: Convert to fraction form
    1,999.69/3,798.14 = 3,798.14/x
  3. Step 3: Cross multiply
    1,999.69x = 3,798.14 × 3,798.14
  4. Step 4: Simplify right side
    1,999.69x = 14,425,872.21
  5. Step 5: Solve for x
    x = 14,425,872.21/1,999.69
  6. Step 6: Final answer
    x = 7,214.06

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.