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Finding the Third Proportional to 13,474 and 14,914

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Solution

The third proportional to 13,474 and 14,914 is: 16,507.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474 : 14,914 = 14,914 : x
  2. Step 2: Convert to fraction form
    13,474/14,914 = 14,914/x
  3. Step 3: Cross multiply
    13,474x = 14,914 × 14,914
  4. Step 4: Simplify right side
    13,474x = 222,427,396
  5. Step 5: Solve for x
    x = 222,427,396/13,474
  6. Step 6: Final answer
    x = 16,507.90

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.