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Finding the Third Proportional to 10,904 and 23,554

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Solution

The third proportional to 10,904 and 23,554 is: 50,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904 : 23,554 = 23,554 : x
  2. Step 2: Convert to fraction form
    10,904/23,554 = 23,554/x
  3. Step 3: Cross multiply
    10,904x = 23,554 × 23,554
  4. Step 4: Simplify right side
    10,904x = 554,790,916
  5. Step 5: Solve for x
    x = 554,790,916/10,904
  6. Step 6: Final answer
    x = 50,879.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.