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Finding the Third Proportional to 32,578 and 49,515

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Solution

The third proportional to 32,578 and 49,515 is: 75,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578 : 49,515 = 49,515 : x
  2. Step 2: Convert to fraction form
    32,578/49,515 = 49,515/x
  3. Step 3: Cross multiply
    32,578x = 49,515 × 49,515
  4. Step 4: Simplify right side
    32,578x = 2,451,735,225
  5. Step 5: Solve for x
    x = 2,451,735,225/32,578
  6. Step 6: Final answer
    x = 75,257.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.