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Finding the Third Proportional to 34,037 and 50,080

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Solution

The third proportional to 34,037 and 50,080 is: 73,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,037 : 50,080 = 50,080 : x
  2. Step 2: Convert to fraction form
    34,037/50,080 = 50,080/x
  3. Step 3: Cross multiply
    34,037x = 50,080 × 50,080
  4. Step 4: Simplify right side
    34,037x = 2,508,006,400
  5. Step 5: Solve for x
    x = 2,508,006,400/34,037
  6. Step 6: Final answer
    x = 73,684.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.