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Finding the Third Proportional to 1,800.23 and 3,989.70

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Solution

The third proportional to 1,800.23 and 3,989.70 is: 8,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.23 : 3,989.70 = 3,989.70 : x
  2. Step 2: Convert to fraction form
    1,800.23/3,989.70 = 3,989.70/x
  3. Step 3: Cross multiply
    1,800.23x = 3,989.70 × 3,989.70
  4. Step 4: Simplify right side
    1,800.23x = 15,917,705.21
  5. Step 5: Solve for x
    x = 15,917,705.21/1,800.23
  6. Step 6: Final answer
    x = 8,842.04

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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.