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Finding the Third Proportional to 1,819.88 and 2,744.88

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Solution

The third proportional to 1,819.88 and 2,744.88 is: 4,140.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.88 : 2,744.88 = 2,744.88 : x
  2. Step 2: Convert to fraction form
    1,819.88/2,744.88 = 2,744.88/x
  3. Step 3: Cross multiply
    1,819.88x = 2,744.88 × 2,744.88
  4. Step 4: Simplify right side
    1,819.88x = 7,534,338.77
  5. Step 5: Solve for x
    x = 7,534,338.77/1,819.88
  6. Step 6: Final answer
    x = 4,140.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.