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Finding the Third Proportional to 6,780 and 9,636

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Solution

The third proportional to 6,780 and 9,636 is: 13,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 9,636 = 9,636 : x
  2. Step 2: Convert to fraction form
    6,780/9,636 = 9,636/x
  3. Step 3: Cross multiply
    6,780x = 9,636 × 9,636
  4. Step 4: Simplify right side
    6,780x = 92,852,496
  5. Step 5: Solve for x
    x = 92,852,496/6,780
  6. Step 6: Final answer
    x = 13,695.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.