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Finding the Third Proportional to 51,033 and 71,811

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Solution

The third proportional to 51,033 and 71,811 is: 101,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,033 : 71,811 = 71,811 : x
  2. Step 2: Convert to fraction form
    51,033/71,811 = 71,811/x
  3. Step 3: Cross multiply
    51,033x = 71,811 × 71,811
  4. Step 4: Simplify right side
    51,033x = 5,156,819,721
  5. Step 5: Solve for x
    x = 5,156,819,721/51,033
  6. Step 6: Final answer
    x = 101,048.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.