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Finding the Third Proportional to 7,647 and 8,376

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Solution

The third proportional to 7,647 and 8,376 is: 9,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647 : 8,376 = 8,376 : x
  2. Step 2: Convert to fraction form
    7,647/8,376 = 8,376/x
  3. Step 3: Cross multiply
    7,647x = 8,376 × 8,376
  4. Step 4: Simplify right side
    7,647x = 70,157,376
  5. Step 5: Solve for x
    x = 70,157,376/7,647
  6. Step 6: Final answer
    x = 9,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.