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Finding the Third Proportional to 14,364 and 31,374

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Solution

The third proportional to 14,364 and 31,374 is: 68,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 31,374 = 31,374 : x
  2. Step 2: Convert to fraction form
    14,364/31,374 = 31,374/x
  3. Step 3: Cross multiply
    14,364x = 31,374 × 31,374
  4. Step 4: Simplify right side
    14,364x = 984,327,876
  5. Step 5: Solve for x
    x = 984,327,876/14,364
  6. Step 6: Final answer
    x = 68,527.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.