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Finding the Third Proportional to 6,214 and 13,226

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Solution

The third proportional to 6,214 and 13,226 is: 28,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 13,226 = 13,226 : x
  2. Step 2: Convert to fraction form
    6,214/13,226 = 13,226/x
  3. Step 3: Cross multiply
    6,214x = 13,226 × 13,226
  4. Step 4: Simplify right side
    6,214x = 174,927,076
  5. Step 5: Solve for x
    x = 174,927,076/6,214
  6. Step 6: Final answer
    x = 28,150.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.