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Finding the Third Proportional to 12,717 and 14,571

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Solution

The third proportional to 12,717 and 14,571 is: 16,695.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717 : 14,571 = 14,571 : x
  2. Step 2: Convert to fraction form
    12,717/14,571 = 14,571/x
  3. Step 3: Cross multiply
    12,717x = 14,571 × 14,571
  4. Step 4: Simplify right side
    12,717x = 212,314,041
  5. Step 5: Solve for x
    x = 212,314,041/12,717
  6. Step 6: Final answer
    x = 16,695.29

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.