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Finding the Third Proportional to 20,232 and 44,325

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Solution

The third proportional to 20,232 and 44,325 is: 97,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232 : 44,325 = 44,325 : x
  2. Step 2: Convert to fraction form
    20,232/44,325 = 44,325/x
  3. Step 3: Cross multiply
    20,232x = 44,325 × 44,325
  4. Step 4: Simplify right side
    20,232x = 1,964,705,625
  5. Step 5: Solve for x
    x = 1,964,705,625/20,232
  6. Step 6: Final answer
    x = 97,108.82

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Why These Related Problems?

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