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Finding the Third Proportional to 13,176 and 23,427

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Solution

The third proportional to 13,176 and 23,427 is: 41,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176 : 23,427 = 23,427 : x
  2. Step 2: Convert to fraction form
    13,176/23,427 = 23,427/x
  3. Step 3: Cross multiply
    13,176x = 23,427 × 23,427
  4. Step 4: Simplify right side
    13,176x = 548,824,329
  5. Step 5: Solve for x
    x = 548,824,329/13,176
  6. Step 6: Final answer
    x = 41,653.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.