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Finding the Third Proportional to 7,852 and 8,672

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Solution

The third proportional to 7,852 and 8,672 is: 9,577.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852 : 8,672 = 8,672 : x
  2. Step 2: Convert to fraction form
    7,852/8,672 = 8,672/x
  3. Step 3: Cross multiply
    7,852x = 8,672 × 8,672
  4. Step 4: Simplify right side
    7,852x = 75,203,584
  5. Step 5: Solve for x
    x = 75,203,584/7,852
  6. Step 6: Final answer
    x = 9,577.63

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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.