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Finding the Third Proportional to 2,105.44 and 4,345.88

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Solution

The third proportional to 2,105.44 and 4,345.88 is: 8,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.44 : 4,345.88 = 4,345.88 : x
  2. Step 2: Convert to fraction form
    2,105.44/4,345.88 = 4,345.88/x
  3. Step 3: Cross multiply
    2,105.44x = 4,345.88 × 4,345.88
  4. Step 4: Simplify right side
    2,105.44x = 18,886,629.52
  5. Step 5: Solve for x
    x = 18,886,629.52/2,105.44
  6. Step 6: Final answer
    x = 8,970.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.