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Finding the Third Proportional to 49,684 and 73,851

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Solution

The third proportional to 49,684 and 73,851 is: 109,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,684 : 73,851 = 73,851 : x
  2. Step 2: Convert to fraction form
    49,684/73,851 = 73,851/x
  3. Step 3: Cross multiply
    49,684x = 73,851 × 73,851
  4. Step 4: Simplify right side
    49,684x = 5,453,970,201
  5. Step 5: Solve for x
    x = 5,453,970,201/49,684
  6. Step 6: Final answer
    x = 109,773.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.