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Finding the Third Proportional to 17,454 and 18,894

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Solution

The third proportional to 17,454 and 18,894 is: 20,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454 : 18,894 = 18,894 : x
  2. Step 2: Convert to fraction form
    17,454/18,894 = 18,894/x
  3. Step 3: Cross multiply
    17,454x = 18,894 × 18,894
  4. Step 4: Simplify right side
    17,454x = 356,983,236
  5. Step 5: Solve for x
    x = 356,983,236/17,454
  6. Step 6: Final answer
    x = 20,452.80

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.