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Finding the Third Proportional to 1,819.69 and 4,899.09

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Solution

The third proportional to 1,819.69 and 4,899.09 is: 13,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.69 : 4,899.09 = 4,899.09 : x
  2. Step 2: Convert to fraction form
    1,819.69/4,899.09 = 4,899.09/x
  3. Step 3: Cross multiply
    1,819.69x = 4,899.09 × 4,899.09
  4. Step 4: Simplify right side
    1,819.69x = 24,001,119.57
  5. Step 5: Solve for x
    x = 24,001,119.57/1,819.69
  6. Step 6: Final answer
    x = 13,189.69

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.