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Finding the Third Proportional to 6,080 and 11,212

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Solution

The third proportional to 6,080 and 11,212 is: 20,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080 : 11,212 = 11,212 : x
  2. Step 2: Convert to fraction form
    6,080/11,212 = 11,212/x
  3. Step 3: Cross multiply
    6,080x = 11,212 × 11,212
  4. Step 4: Simplify right side
    6,080x = 125,708,944
  5. Step 5: Solve for x
    x = 125,708,944/6,080
  6. Step 6: Final answer
    x = 20,675.81

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.