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Finding the Third Proportional to 12,034 and 26,228

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Solution

The third proportional to 12,034 and 26,228 is: 57,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034 : 26,228 = 26,228 : x
  2. Step 2: Convert to fraction form
    12,034/26,228 = 26,228/x
  3. Step 3: Cross multiply
    12,034x = 26,228 × 26,228
  4. Step 4: Simplify right side
    12,034x = 687,907,984
  5. Step 5: Solve for x
    x = 687,907,984/12,034
  6. Step 6: Final answer
    x = 57,163.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.