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Finding the Third Proportional to 5,416 and 11,000

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Solution

The third proportional to 5,416 and 11,000 is: 22,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 11,000 = 11,000 : x
  2. Step 2: Convert to fraction form
    5,416/11,000 = 11,000/x
  3. Step 3: Cross multiply
    5,416x = 11,000 × 11,000
  4. Step 4: Simplify right side
    5,416x = 121,000,000
  5. Step 5: Solve for x
    x = 121,000,000/5,416
  6. Step 6: Final answer
    x = 22,341.21

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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.