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Finding the Third Proportional to 7,832 and 12,153

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Solution

The third proportional to 7,832 and 12,153 is: 18,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 12,153 = 12,153 : x
  2. Step 2: Convert to fraction form
    7,832/12,153 = 12,153/x
  3. Step 3: Cross multiply
    7,832x = 12,153 × 12,153
  4. Step 4: Simplify right side
    7,832x = 147,695,409
  5. Step 5: Solve for x
    x = 147,695,409/7,832
  6. Step 6: Final answer
    x = 18,857.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.