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Finding the Third Proportional to 30,839 and 46,137

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Solution

The third proportional to 30,839 and 46,137 is: 69,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839 : 46,137 = 46,137 : x
  2. Step 2: Convert to fraction form
    30,839/46,137 = 46,137/x
  3. Step 3: Cross multiply
    30,839x = 46,137 × 46,137
  4. Step 4: Simplify right side
    30,839x = 2,128,622,769
  5. Step 5: Solve for x
    x = 2,128,622,769/30,839
  6. Step 6: Final answer
    x = 69,023.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.