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Finding the Third Proportional to 30,998 and 39,801

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Solution

The third proportional to 30,998 and 39,801 is: 51,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998 : 39,801 = 39,801 : x
  2. Step 2: Convert to fraction form
    30,998/39,801 = 39,801/x
  3. Step 3: Cross multiply
    30,998x = 39,801 × 39,801
  4. Step 4: Simplify right side
    30,998x = 1,584,119,601
  5. Step 5: Solve for x
    x = 1,584,119,601/30,998
  6. Step 6: Final answer
    x = 51,103.93

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.