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Finding the Third Proportional to 7,664 and 13,680

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Solution

The third proportional to 7,664 and 13,680 is: 24,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664 : 13,680 = 13,680 : x
  2. Step 2: Convert to fraction form
    7,664/13,680 = 13,680/x
  3. Step 3: Cross multiply
    7,664x = 13,680 × 13,680
  4. Step 4: Simplify right side
    7,664x = 187,142,400
  5. Step 5: Solve for x
    x = 187,142,400/7,664
  6. Step 6: Final answer
    x = 24,418.37

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.