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Finding the Third Proportional to 2,629.10 and 5,582.83

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Solution

The third proportional to 2,629.10 and 5,582.83 is: 11,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.10 : 5,582.83 = 5,582.83 : x
  2. Step 2: Convert to fraction form
    2,629.10/5,582.83 = 5,582.83/x
  3. Step 3: Cross multiply
    2,629.10x = 5,582.83 × 5,582.83
  4. Step 4: Simplify right side
    2,629.10x = 31,167,991.68
  5. Step 5: Solve for x
    x = 31,167,991.68/2,629.10
  6. Step 6: Final answer
    x = 11,855.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.