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Finding the Third Proportional to 7,684 and 15,695

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Solution

The third proportional to 7,684 and 15,695 is: 32,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 15,695 = 15,695 : x
  2. Step 2: Convert to fraction form
    7,684/15,695 = 15,695/x
  3. Step 3: Cross multiply
    7,684x = 15,695 × 15,695
  4. Step 4: Simplify right side
    7,684x = 246,333,025
  5. Step 5: Solve for x
    x = 246,333,025/7,684
  6. Step 6: Final answer
    x = 32,057.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.