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Finding the Third Proportional to 20,517 and 48,406

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Solution

The third proportional to 20,517 and 48,406 is: 114,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,517 : 48,406 = 48,406 : x
  2. Step 2: Convert to fraction form
    20,517/48,406 = 48,406/x
  3. Step 3: Cross multiply
    20,517x = 48,406 × 48,406
  4. Step 4: Simplify right side
    20,517x = 2,343,140,836
  5. Step 5: Solve for x
    x = 2,343,140,836/20,517
  6. Step 6: Final answer
    x = 114,204.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.