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Finding the Third Proportional to 2,924.44 and 4,055.91

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Solution

The third proportional to 2,924.44 and 4,055.91 is: 5,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.44 : 4,055.91 = 4,055.91 : x
  2. Step 2: Convert to fraction form
    2,924.44/4,055.91 = 4,055.91/x
  3. Step 3: Cross multiply
    2,924.44x = 4,055.91 × 4,055.91
  4. Step 4: Simplify right side
    2,924.44x = 16,450,375.51
  5. Step 5: Solve for x
    x = 16,450,375.51/2,924.44
  6. Step 6: Final answer
    x = 5,625.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.