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Finding the Third Proportional to 51,508 and 73,517

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Solution

The third proportional to 51,508 and 73,517 is: 104,930.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,508 : 73,517 = 73,517 : x
  2. Step 2: Convert to fraction form
    51,508/73,517 = 73,517/x
  3. Step 3: Cross multiply
    51,508x = 73,517 × 73,517
  4. Step 4: Simplify right side
    51,508x = 5,404,749,289
  5. Step 5: Solve for x
    x = 5,404,749,289/51,508
  6. Step 6: Final answer
    x = 104,930.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.