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Finding the Third Proportional to 34,586 and 50,364

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Solution

The third proportional to 34,586 and 50,364 is: 73,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,586 : 50,364 = 50,364 : x
  2. Step 2: Convert to fraction form
    34,586/50,364 = 50,364/x
  3. Step 3: Cross multiply
    34,586x = 50,364 × 50,364
  4. Step 4: Simplify right side
    34,586x = 2,536,532,496
  5. Step 5: Solve for x
    x = 2,536,532,496/34,586
  6. Step 6: Final answer
    x = 73,339.86

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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.