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Finding the Third Proportional to 23,514 and 31,347

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Solution

The third proportional to 23,514 and 31,347 is: 41,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514 : 31,347 = 31,347 : x
  2. Step 2: Convert to fraction form
    23,514/31,347 = 31,347/x
  3. Step 3: Cross multiply
    23,514x = 31,347 × 31,347
  4. Step 4: Simplify right side
    23,514x = 982,634,409
  5. Step 5: Solve for x
    x = 982,634,409/23,514
  6. Step 6: Final answer
    x = 41,789.33

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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.