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Finding the Third Proportional to 1,594.69 and 3,351.38

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Solution

The third proportional to 1,594.69 and 3,351.38 is: 7,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.69 : 3,351.38 = 3,351.38 : x
  2. Step 2: Convert to fraction form
    1,594.69/3,351.38 = 3,351.38/x
  3. Step 3: Cross multiply
    1,594.69x = 3,351.38 × 3,351.38
  4. Step 4: Simplify right side
    1,594.69x = 11,231,714.39
  5. Step 5: Solve for x
    x = 11,231,714.39/1,594.69
  6. Step 6: Final answer
    x = 7,043.21

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