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Finding the Third Proportional to 7,858 and 10,672

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Solution

The third proportional to 7,858 and 10,672 is: 14,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 10,672 = 10,672 : x
  2. Step 2: Convert to fraction form
    7,858/10,672 = 10,672/x
  3. Step 3: Cross multiply
    7,858x = 10,672 × 10,672
  4. Step 4: Simplify right side
    7,858x = 113,891,584
  5. Step 5: Solve for x
    x = 113,891,584/7,858
  6. Step 6: Final answer
    x = 14,493.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.