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Finding the Third Proportional to 32,717 and 49,116

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Solution

The third proportional to 32,717 and 49,116 is: 73,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,717 : 49,116 = 49,116 : x
  2. Step 2: Convert to fraction form
    32,717/49,116 = 49,116/x
  3. Step 3: Cross multiply
    32,717x = 49,116 × 49,116
  4. Step 4: Simplify right side
    32,717x = 2,412,381,456
  5. Step 5: Solve for x
    x = 2,412,381,456/32,717
  6. Step 6: Final answer
    x = 73,734.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.