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Finding the Third Proportional to 21,832.03 and 47,662.17

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Solution

The third proportional to 21,832.03 and 47,662.17 is: 104,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.03 : 47,662.17 = 47,662.17 : x
  2. Step 2: Convert to fraction form
    21,832.03/47,662.17 = 47,662.17/x
  3. Step 3: Cross multiply
    21,832.03x = 47,662.17 × 47,662.17
  4. Step 4: Simplify right side
    21,832.03x = 2,271,682,627.84
  5. Step 5: Solve for x
    x = 2,271,682,627.84/21,832.03
  6. Step 6: Final answer
    x = 104,052.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.