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Finding the Third Proportional to 6,550 and 13,910

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Solution

The third proportional to 6,550 and 13,910 is: 29,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550 : 13,910 = 13,910 : x
  2. Step 2: Convert to fraction form
    6,550/13,910 = 13,910/x
  3. Step 3: Cross multiply
    6,550x = 13,910 × 13,910
  4. Step 4: Simplify right side
    6,550x = 193,488,100
  5. Step 5: Solve for x
    x = 193,488,100/6,550
  6. Step 6: Final answer
    x = 29,540.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.