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Finding the Third Proportional to 1,820.81 and 3,983.34

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Solution

The third proportional to 1,820.81 and 3,983.34 is: 8,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.81 : 3,983.34 = 3,983.34 : x
  2. Step 2: Convert to fraction form
    1,820.81/3,983.34 = 3,983.34/x
  3. Step 3: Cross multiply
    1,820.81x = 3,983.34 × 3,983.34
  4. Step 4: Simplify right side
    1,820.81x = 15,867,027.43
  5. Step 5: Solve for x
    x = 15,867,027.43/1,820.81
  6. Step 6: Final answer
    x = 8,714.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.