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Finding the Third Proportional to 14,771 and 19,901

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Solution

The third proportional to 14,771 and 19,901 is: 26,812.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771 : 19,901 = 19,901 : x
  2. Step 2: Convert to fraction form
    14,771/19,901 = 19,901/x
  3. Step 3: Cross multiply
    14,771x = 19,901 × 19,901
  4. Step 4: Simplify right side
    14,771x = 396,049,801
  5. Step 5: Solve for x
    x = 396,049,801/14,771
  6. Step 6: Final answer
    x = 26,812.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.