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Finding the Third Proportional to 17,664 and 38,811

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Solution

The third proportional to 17,664 and 38,811 is: 85,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664 : 38,811 = 38,811 : x
  2. Step 2: Convert to fraction form
    17,664/38,811 = 38,811/x
  3. Step 3: Cross multiply
    17,664x = 38,811 × 38,811
  4. Step 4: Simplify right side
    17,664x = 1,506,293,721
  5. Step 5: Solve for x
    x = 1,506,293,721/17,664
  6. Step 6: Final answer
    x = 85,274.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.