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Finding the Third Proportional to 6,538 and 9,680

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Solution

The third proportional to 6,538 and 9,680 is: 14,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 9,680 = 9,680 : x
  2. Step 2: Convert to fraction form
    6,538/9,680 = 9,680/x
  3. Step 3: Cross multiply
    6,538x = 9,680 × 9,680
  4. Step 4: Simplify right side
    6,538x = 93,702,400
  5. Step 5: Solve for x
    x = 93,702,400/6,538
  6. Step 6: Final answer
    x = 14,331.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.