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Finding the Third Proportional to 19,664 and 34,624

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Solution

The third proportional to 19,664 and 34,624 is: 60,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664 : 34,624 = 34,624 : x
  2. Step 2: Convert to fraction form
    19,664/34,624 = 34,624/x
  3. Step 3: Cross multiply
    19,664x = 34,624 × 34,624
  4. Step 4: Simplify right side
    19,664x = 1,198,821,376
  5. Step 5: Solve for x
    x = 1,198,821,376/19,664
  6. Step 6: Final answer
    x = 60,965.29

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.