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Finding the Third Proportional to 24,251 and 54,172

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Solution

The third proportional to 24,251 and 54,172 is: 121,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,251 : 54,172 = 54,172 : x
  2. Step 2: Convert to fraction form
    24,251/54,172 = 54,172/x
  3. Step 3: Cross multiply
    24,251x = 54,172 × 54,172
  4. Step 4: Simplify right side
    24,251x = 2,934,605,584
  5. Step 5: Solve for x
    x = 2,934,605,584/24,251
  6. Step 6: Final answer
    x = 121,009.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.