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Finding the Third Proportional to 12,848 and 30,923

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Solution

The third proportional to 12,848 and 30,923 is: 74,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848 : 30,923 = 30,923 : x
  2. Step 2: Convert to fraction form
    12,848/30,923 = 30,923/x
  3. Step 3: Cross multiply
    12,848x = 30,923 × 30,923
  4. Step 4: Simplify right side
    12,848x = 956,231,929
  5. Step 5: Solve for x
    x = 956,231,929/12,848
  6. Step 6: Final answer
    x = 74,426.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.