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Finding the Third Proportional to 5,416 and 11,420

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Solution

The third proportional to 5,416 and 11,420 is: 24,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416 : 11,420 = 11,420 : x
  2. Step 2: Convert to fraction form
    5,416/11,420 = 11,420/x
  3. Step 3: Cross multiply
    5,416x = 11,420 × 11,420
  4. Step 4: Simplify right side
    5,416x = 130,416,400
  5. Step 5: Solve for x
    x = 130,416,400/5,416
  6. Step 6: Final answer
    x = 24,079.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.