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Finding the Third Proportional to 2,080.83 and 4,457.81

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Solution

The third proportional to 2,080.83 and 4,457.81 is: 9,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.83 : 4,457.81 = 4,457.81 : x
  2. Step 2: Convert to fraction form
    2,080.83/4,457.81 = 4,457.81/x
  3. Step 3: Cross multiply
    2,080.83x = 4,457.81 × 4,457.81
  4. Step 4: Simplify right side
    2,080.83x = 19,872,092.29
  5. Step 5: Solve for x
    x = 19,872,092.29/2,080.83
  6. Step 6: Final answer
    x = 9,550.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.