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Finding the Third Proportional to 10,906 and 24,279

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Solution

The third proportional to 10,906 and 24,279 is: 54,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906 : 24,279 = 24,279 : x
  2. Step 2: Convert to fraction form
    10,906/24,279 = 24,279/x
  3. Step 3: Cross multiply
    10,906x = 24,279 × 24,279
  4. Step 4: Simplify right side
    10,906x = 589,469,841
  5. Step 5: Solve for x
    x = 589,469,841/10,906
  6. Step 6: Final answer
    x = 54,050.05

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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.