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Finding the Third Proportional to 34,271 and 51,122

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Solution

The third proportional to 34,271 and 51,122 is: 76,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,271 : 51,122 = 51,122 : x
  2. Step 2: Convert to fraction form
    34,271/51,122 = 51,122/x
  3. Step 3: Cross multiply
    34,271x = 51,122 × 51,122
  4. Step 4: Simplify right side
    34,271x = 2,613,458,884
  5. Step 5: Solve for x
    x = 2,613,458,884/34,271
  6. Step 6: Final answer
    x = 76,258.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.