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Finding the Third Proportional to 10,911 and 16,893

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Solution

The third proportional to 10,911 and 16,893 is: 26,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911 : 16,893 = 16,893 : x
  2. Step 2: Convert to fraction form
    10,911/16,893 = 16,893/x
  3. Step 3: Cross multiply
    10,911x = 16,893 × 16,893
  4. Step 4: Simplify right side
    10,911x = 285,373,449
  5. Step 5: Solve for x
    x = 285,373,449/10,911
  6. Step 6: Final answer
    x = 26,154.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.