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Finding the Third Proportional to 12,974 and 28,102

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Solution

The third proportional to 12,974 and 28,102 is: 60,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,974 : 28,102 = 28,102 : x
  2. Step 2: Convert to fraction form
    12,974/28,102 = 28,102/x
  3. Step 3: Cross multiply
    12,974x = 28,102 × 28,102
  4. Step 4: Simplify right side
    12,974x = 789,722,404
  5. Step 5: Solve for x
    x = 789,722,404/12,974
  6. Step 6: Final answer
    x = 60,869.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.