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Finding the Third Proportional to 8,664 and 20,748

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Solution

The third proportional to 8,664 and 20,748 is: 49,686

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664 : 20,748 = 20,748 : x
  2. Step 2: Convert to fraction form
    8,664/20,748 = 20,748/x
  3. Step 3: Cross multiply
    8,664x = 20,748 × 20,748
  4. Step 4: Simplify right side
    8,664x = 430,479,504
  5. Step 5: Solve for x
    x = 430,479,504/8,664
  6. Step 6: Final answer
    x = 49,686

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.