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Finding the Third Proportional to 7,647 and 15,672

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Solution

The third proportional to 7,647 and 15,672 is: 32,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647 : 15,672 = 15,672 : x
  2. Step 2: Convert to fraction form
    7,647/15,672 = 15,672/x
  3. Step 3: Cross multiply
    7,647x = 15,672 × 15,672
  4. Step 4: Simplify right side
    7,647x = 245,611,584
  5. Step 5: Solve for x
    x = 245,611,584/7,647
  6. Step 6: Final answer
    x = 32,118.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.