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Finding the Third Proportional to 11,192 and 23,764

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Solution

The third proportional to 11,192 and 23,764 is: 50,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192 : 23,764 = 23,764 : x
  2. Step 2: Convert to fraction form
    11,192/23,764 = 23,764/x
  3. Step 3: Cross multiply
    11,192x = 23,764 × 23,764
  4. Step 4: Simplify right side
    11,192x = 564,727,696
  5. Step 5: Solve for x
    x = 564,727,696/11,192
  6. Step 6: Final answer
    x = 50,458.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.