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Finding the Third Proportional to 23,512 and 31,344

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Solution

The third proportional to 23,512 and 31,344 is: 41,784.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512 : 31,344 = 31,344 : x
  2. Step 2: Convert to fraction form
    23,512/31,344 = 31,344/x
  3. Step 3: Cross multiply
    23,512x = 31,344 × 31,344
  4. Step 4: Simplify right side
    23,512x = 982,446,336
  5. Step 5: Solve for x
    x = 982,446,336/23,512
  6. Step 6: Final answer
    x = 41,784.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.