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Finding the Third Proportional to 20,217 and 46,683

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Solution

The third proportional to 20,217 and 46,683 is: 107,795.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 46,683 = 46,683 : x
  2. Step 2: Convert to fraction form
    20,217/46,683 = 46,683/x
  3. Step 3: Cross multiply
    20,217x = 46,683 × 46,683
  4. Step 4: Simplify right side
    20,217x = 2,179,302,489
  5. Step 5: Solve for x
    x = 2,179,302,489/20,217
  6. Step 6: Final answer
    x = 107,795.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.