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Finding the Third Proportional to 7,839 and 14,571

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Solution

The third proportional to 7,839 and 14,571 is: 27,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839 : 14,571 = 14,571 : x
  2. Step 2: Convert to fraction form
    7,839/14,571 = 14,571/x
  3. Step 3: Cross multiply
    7,839x = 14,571 × 14,571
  4. Step 4: Simplify right side
    7,839x = 212,314,041
  5. Step 5: Solve for x
    x = 212,314,041/7,839
  6. Step 6: Final answer
    x = 27,084.33

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.