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Finding the Third Proportional to 813.09 and 1,808.16

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Solution

The third proportional to 813.09 and 1,808.16 is: 4,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.09 : 1,808.16 = 1,808.16 : x
  2. Step 2: Convert to fraction form
    813.09/1,808.16 = 1,808.16/x
  3. Step 3: Cross multiply
    813.09x = 1,808.16 × 1,808.16
  4. Step 4: Simplify right side
    813.09x = 3,269,429.02
  5. Step 5: Solve for x
    x = 3,269,429.02/813.09
  6. Step 6: Final answer
    x = 4,020.97

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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.