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Finding the Third Proportional to 34,586 and 67,444

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Solution

The third proportional to 34,586 and 67,444 is: 131,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,586 : 67,444 = 67,444 : x
  2. Step 2: Convert to fraction form
    34,586/67,444 = 67,444/x
  3. Step 3: Cross multiply
    34,586x = 67,444 × 67,444
  4. Step 4: Simplify right side
    34,586x = 4,548,693,136
  5. Step 5: Solve for x
    x = 4,548,693,136/34,586
  6. Step 6: Final answer
    x = 131,518.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.