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Finding the Third Proportional to 1,819.69 and 2,815.88

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Solution

The third proportional to 1,819.69 and 2,815.88 is: 4,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.69 : 2,815.88 = 2,815.88 : x
  2. Step 2: Convert to fraction form
    1,819.69/2,815.88 = 2,815.88/x
  3. Step 3: Cross multiply
    1,819.69x = 2,815.88 × 2,815.88
  4. Step 4: Simplify right side
    1,819.69x = 7,929,152.02
  5. Step 5: Solve for x
    x = 7,929,152.02/1,819.69
  6. Step 6: Final answer
    x = 4,357.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.