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Finding the Third Proportional to 2,059.80 and 4,582.83

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Solution

The third proportional to 2,059.80 and 4,582.83 is: 10,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.80 : 4,582.83 = 4,582.83 : x
  2. Step 2: Convert to fraction form
    2,059.80/4,582.83 = 4,582.83/x
  3. Step 3: Cross multiply
    2,059.80x = 4,582.83 × 4,582.83
  4. Step 4: Simplify right side
    2,059.80x = 21,002,313.62
  5. Step 5: Solve for x
    x = 21,002,313.62/2,059.80
  6. Step 6: Final answer
    x = 10,196.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.