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Finding the Third Proportional to 12,807 and 30,996

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Solution

The third proportional to 12,807 and 30,996 is: 75,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807 : 30,996 = 30,996 : x
  2. Step 2: Convert to fraction form
    12,807/30,996 = 30,996/x
  3. Step 3: Cross multiply
    12,807x = 30,996 × 30,996
  4. Step 4: Simplify right side
    12,807x = 960,752,016
  5. Step 5: Solve for x
    x = 960,752,016/12,807
  6. Step 6: Final answer
    x = 75,017.73

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.