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Finding the Third Proportional to 5,429 and 11,221

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Solution

The third proportional to 5,429 and 11,221 is: 23,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429 : 11,221 = 11,221 : x
  2. Step 2: Convert to fraction form
    5,429/11,221 = 11,221/x
  3. Step 3: Cross multiply
    5,429x = 11,221 × 11,221
  4. Step 4: Simplify right side
    5,429x = 125,910,841
  5. Step 5: Solve for x
    x = 125,910,841/5,429
  6. Step 6: Final answer
    x = 23,192.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.