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Finding the Third Proportional to 34,225 and 51,197

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Solution

The third proportional to 34,225 and 51,197 is: 76,585.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,225 : 51,197 = 51,197 : x
  2. Step 2: Convert to fraction form
    34,225/51,197 = 51,197/x
  3. Step 3: Cross multiply
    34,225x = 51,197 × 51,197
  4. Step 4: Simplify right side
    34,225x = 2,621,132,809
  5. Step 5: Solve for x
    x = 2,621,132,809/34,225
  6. Step 6: Final answer
    x = 76,585.33

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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.