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Finding the Third Proportional to 1,918.69 and 2,676.94

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Solution

The third proportional to 1,918.69 and 2,676.94 is: 3,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.69 : 2,676.94 = 2,676.94 : x
  2. Step 2: Convert to fraction form
    1,918.69/2,676.94 = 2,676.94/x
  3. Step 3: Cross multiply
    1,918.69x = 2,676.94 × 2,676.94
  4. Step 4: Simplify right side
    1,918.69x = 7,165,994.38
  5. Step 5: Solve for x
    x = 7,165,994.38/1,918.69
  6. Step 6: Final answer
    x = 3,734.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.