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Finding the Third Proportional to 34,134 and 49,701

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Solution

The third proportional to 34,134 and 49,701 is: 72,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134 : 49,701 = 49,701 : x
  2. Step 2: Convert to fraction form
    34,134/49,701 = 49,701/x
  3. Step 3: Cross multiply
    34,134x = 49,701 × 49,701
  4. Step 4: Simplify right side
    34,134x = 2,470,189,401
  5. Step 5: Solve for x
    x = 2,470,189,401/34,134
  6. Step 6: Final answer
    x = 72,367.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.