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Finding the Third Proportional to 5,654 and 11,467

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Solution

The third proportional to 5,654 and 11,467 is: 23,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654 : 11,467 = 11,467 : x
  2. Step 2: Convert to fraction form
    5,654/11,467 = 11,467/x
  3. Step 3: Cross multiply
    5,654x = 11,467 × 11,467
  4. Step 4: Simplify right side
    5,654x = 131,492,089
  5. Step 5: Solve for x
    x = 131,492,089/5,654
  6. Step 6: Final answer
    x = 23,256.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.