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Finding the Third Proportional to 20,825.44 and 45,820.69

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Solution

The third proportional to 20,825.44 and 45,820.69 is: 100,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.44 : 45,820.69 = 45,820.69 : x
  2. Step 2: Convert to fraction form
    20,825.44/45,820.69 = 45,820.69/x
  3. Step 3: Cross multiply
    20,825.44x = 45,820.69 × 45,820.69
  4. Step 4: Simplify right side
    20,825.44x = 2,099,535,402.97
  5. Step 5: Solve for x
    x = 2,099,535,402.97/20,825.44
  6. Step 6: Final answer
    x = 100,815.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.