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Finding the Third Proportional to 1,819.13 and 4,392.56

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Solution

The third proportional to 1,819.13 and 4,392.56 is: 10,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.13 : 4,392.56 = 4,392.56 : x
  2. Step 2: Convert to fraction form
    1,819.13/4,392.56 = 4,392.56/x
  3. Step 3: Cross multiply
    1,819.13x = 4,392.56 × 4,392.56
  4. Step 4: Simplify right side
    1,819.13x = 19,294,605.32
  5. Step 5: Solve for x
    x = 19,294,605.32/1,819.13
  6. Step 6: Final answer
    x = 10,606.53

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.