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Finding the Third Proportional to 11,623 and 23,933

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Solution

The third proportional to 11,623 and 23,933 is: 49,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623 : 23,933 = 23,933 : x
  2. Step 2: Convert to fraction form
    11,623/23,933 = 23,933/x
  3. Step 3: Cross multiply
    11,623x = 23,933 × 23,933
  4. Step 4: Simplify right side
    11,623x = 572,788,489
  5. Step 5: Solve for x
    x = 572,788,489/11,623
  6. Step 6: Final answer
    x = 49,280.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.