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Finding the Third Proportional to 7,848 and 14,112

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Solution

The third proportional to 7,848 and 14,112 is: 25,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 14,112 = 14,112 : x
  2. Step 2: Convert to fraction form
    7,848/14,112 = 14,112/x
  3. Step 3: Cross multiply
    7,848x = 14,112 × 14,112
  4. Step 4: Simplify right side
    7,848x = 199,148,544
  5. Step 5: Solve for x
    x = 199,148,544/7,848
  6. Step 6: Final answer
    x = 25,375.71

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.