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Finding the Third Proportional to 51,734.50 and 76,632

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Solution

The third proportional to 51,734.50 and 76,632 is: 113,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.50 : 76,632 = 76,632 : x
  2. Step 2: Convert to fraction form
    51,734.50/76,632 = 76,632/x
  3. Step 3: Cross multiply
    51,734.50x = 76,632 × 76,632
  4. Step 4: Simplify right side
    51,734.50x = 5,872,463,424
  5. Step 5: Solve for x
    x = 5,872,463,424/51,734.50
  6. Step 6: Final answer
    x = 113,511.55

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.