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Finding the Third Proportional to 7,958 and 18,731

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Solution

The third proportional to 7,958 and 18,731 is: 44,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958 : 18,731 = 18,731 : x
  2. Step 2: Convert to fraction form
    7,958/18,731 = 18,731/x
  3. Step 3: Cross multiply
    7,958x = 18,731 × 18,731
  4. Step 4: Simplify right side
    7,958x = 350,850,361
  5. Step 5: Solve for x
    x = 350,850,361/7,958
  6. Step 6: Final answer
    x = 44,087.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.