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Finding the Third Proportional to 5,150 and 10,483

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Solution

The third proportional to 5,150 and 10,483 is: 21,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150 : 10,483 = 10,483 : x
  2. Step 2: Convert to fraction form
    5,150/10,483 = 10,483/x
  3. Step 3: Cross multiply
    5,150x = 10,483 × 10,483
  4. Step 4: Simplify right side
    5,150x = 109,893,289
  5. Step 5: Solve for x
    x = 109,893,289/5,150
  6. Step 6: Final answer
    x = 21,338.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.