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Finding the Third Proportional to 16,814 and 18,614

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Solution

The third proportional to 16,814 and 18,614 is: 20,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814 : 18,614 = 18,614 : x
  2. Step 2: Convert to fraction form
    16,814/18,614 = 18,614/x
  3. Step 3: Cross multiply
    16,814x = 18,614 × 18,614
  4. Step 4: Simplify right side
    16,814x = 346,480,996
  5. Step 5: Solve for x
    x = 346,480,996/16,814
  6. Step 6: Final answer
    x = 20,606.70

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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.