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Finding the Third Proportional to 7,914 and 16,718

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Solution

The third proportional to 7,914 and 16,718 is: 35,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914 : 16,718 = 16,718 : x
  2. Step 2: Convert to fraction form
    7,914/16,718 = 16,718/x
  3. Step 3: Cross multiply
    7,914x = 16,718 × 16,718
  4. Step 4: Simplify right side
    7,914x = 279,491,524
  5. Step 5: Solve for x
    x = 279,491,524/7,914
  6. Step 6: Final answer
    x = 35,316.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.