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Finding the Third Proportional to 34,209 and 51,177

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Solution

The third proportional to 34,209 and 51,177 is: 76,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,209 : 51,177 = 51,177 : x
  2. Step 2: Convert to fraction form
    34,209/51,177 = 51,177/x
  3. Step 3: Cross multiply
    34,209x = 51,177 × 51,177
  4. Step 4: Simplify right side
    34,209x = 2,619,085,329
  5. Step 5: Solve for x
    x = 2,619,085,329/34,209
  6. Step 6: Final answer
    x = 76,561.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.