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Finding the Third Proportional to 40,848 and 87,956

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Solution

The third proportional to 40,848 and 87,956 is: 189,391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,848 : 87,956 = 87,956 : x
  2. Step 2: Convert to fraction form
    40,848/87,956 = 87,956/x
  3. Step 3: Cross multiply
    40,848x = 87,956 × 87,956
  4. Step 4: Simplify right side
    40,848x = 7,736,257,936
  5. Step 5: Solve for x
    x = 7,736,257,936/40,848
  6. Step 6: Final answer
    x = 189,391.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.