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Finding the Third Proportional to 7,924 and 12,098

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Solution

The third proportional to 7,924 and 12,098 is: 18,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924 : 12,098 = 12,098 : x
  2. Step 2: Convert to fraction form
    7,924/12,098 = 12,098/x
  3. Step 3: Cross multiply
    7,924x = 12,098 × 12,098
  4. Step 4: Simplify right side
    7,924x = 146,361,604
  5. Step 5: Solve for x
    x = 146,361,604/7,924
  6. Step 6: Final answer
    x = 18,470.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.