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Finding the Third Proportional to 7,673 and 15,892

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Solution

The third proportional to 7,673 and 15,892 is: 32,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673 : 15,892 = 15,892 : x
  2. Step 2: Convert to fraction form
    7,673/15,892 = 15,892/x
  3. Step 3: Cross multiply
    7,673x = 15,892 × 15,892
  4. Step 4: Simplify right side
    7,673x = 252,555,664
  5. Step 5: Solve for x
    x = 252,555,664/7,673
  6. Step 6: Final answer
    x = 32,914.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.