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Finding the Third Proportional to 34,512 and 48,586

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Solution

The third proportional to 34,512 and 48,586 is: 68,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,512 : 48,586 = 48,586 : x
  2. Step 2: Convert to fraction form
    34,512/48,586 = 48,586/x
  3. Step 3: Cross multiply
    34,512x = 48,586 × 48,586
  4. Step 4: Simplify right side
    34,512x = 2,360,599,396
  5. Step 5: Solve for x
    x = 2,360,599,396/34,512
  6. Step 6: Final answer
    x = 68,399.38

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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.