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Finding the Third Proportional to 20,852 and 44,984

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Solution

The third proportional to 20,852 and 44,984 is: 97,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,852 : 44,984 = 44,984 : x
  2. Step 2: Convert to fraction form
    20,852/44,984 = 44,984/x
  3. Step 3: Cross multiply
    20,852x = 44,984 × 44,984
  4. Step 4: Simplify right side
    20,852x = 2,023,560,256
  5. Step 5: Solve for x
    x = 2,023,560,256/20,852
  6. Step 6: Final answer
    x = 97,043.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.