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Finding the Third Proportional to 800.10 and 1,773.20

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Solution

The third proportional to 800.10 and 1,773.20 is: 3,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.10 : 1,773.20 = 1,773.20 : x
  2. Step 2: Convert to fraction form
    800.10/1,773.20 = 1,773.20/x
  3. Step 3: Cross multiply
    800.10x = 1,773.20 × 1,773.20
  4. Step 4: Simplify right side
    800.10x = 3,144,238.07
  5. Step 5: Solve for x
    x = 3,144,238.07/800.10
  6. Step 6: Final answer
    x = 3,929.79

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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.