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Finding the Third Proportional to 34,409 and 52,601

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Solution

The third proportional to 34,409 and 52,601 is: 80,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409 : 52,601 = 52,601 : x
  2. Step 2: Convert to fraction form
    34,409/52,601 = 52,601/x
  3. Step 3: Cross multiply
    34,409x = 52,601 × 52,601
  4. Step 4: Simplify right side
    34,409x = 2,766,865,201
  5. Step 5: Solve for x
    x = 2,766,865,201/34,409
  6. Step 6: Final answer
    x = 80,411.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.