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Finding the Third Proportional to 21,514 and 30,467

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Solution

The third proportional to 21,514 and 30,467 is: 43,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,514 : 30,467 = 30,467 : x
  2. Step 2: Convert to fraction form
    21,514/30,467 = 30,467/x
  3. Step 3: Cross multiply
    21,514x = 30,467 × 30,467
  4. Step 4: Simplify right side
    21,514x = 928,238,089
  5. Step 5: Solve for x
    x = 928,238,089/21,514
  6. Step 6: Final answer
    x = 43,145.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.