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Finding the Third Proportional to 24,317 and 50,483

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Solution

The third proportional to 24,317 and 50,483 is: 104,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317 : 50,483 = 50,483 : x
  2. Step 2: Convert to fraction form
    24,317/50,483 = 50,483/x
  3. Step 3: Cross multiply
    24,317x = 50,483 × 50,483
  4. Step 4: Simplify right side
    24,317x = 2,548,533,289
  5. Step 5: Solve for x
    x = 2,548,533,289/24,317
  6. Step 6: Final answer
    x = 104,804.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.