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Finding the Third Proportional to 20,658 and 44,529

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Solution

The third proportional to 20,658 and 44,529 is: 95,983.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,658 : 44,529 = 44,529 : x
  2. Step 2: Convert to fraction form
    20,658/44,529 = 44,529/x
  3. Step 3: Cross multiply
    20,658x = 44,529 × 44,529
  4. Step 4: Simplify right side
    20,658x = 1,982,831,841
  5. Step 5: Solve for x
    x = 1,982,831,841/20,658
  6. Step 6: Final answer
    x = 95,983.73

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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.