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Finding the Third Proportional to 7,846 and 16,783

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Solution

The third proportional to 7,846 and 16,783 is: 35,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 16,783 = 16,783 : x
  2. Step 2: Convert to fraction form
    7,846/16,783 = 16,783/x
  3. Step 3: Cross multiply
    7,846x = 16,783 × 16,783
  4. Step 4: Simplify right side
    7,846x = 281,669,089
  5. Step 5: Solve for x
    x = 281,669,089/7,846
  6. Step 6: Final answer
    x = 35,899.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.