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Finding the Third Proportional to 30,936 and 46,996

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Solution

The third proportional to 30,936 and 46,996 is: 71,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936 : 46,996 = 46,996 : x
  2. Step 2: Convert to fraction form
    30,936/46,996 = 46,996/x
  3. Step 3: Cross multiply
    30,936x = 46,996 × 46,996
  4. Step 4: Simplify right side
    30,936x = 2,208,624,016
  5. Step 5: Solve for x
    x = 2,208,624,016/30,936
  6. Step 6: Final answer
    x = 71,393.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.