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Finding the Third Proportional to 49,518 and 67,280.63

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Solution

The third proportional to 49,518 and 67,280.63 is: 91,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518 : 67,280.63 = 67,280.63 : x
  2. Step 2: Convert to fraction form
    49,518/67,280.63 = 67,280.63/x
  3. Step 3: Cross multiply
    49,518x = 67,280.63 × 67,280.63
  4. Step 4: Simplify right side
    49,518x = 4,526,682,500.39
  5. Step 5: Solve for x
    x = 4,526,682,500.39/49,518
  6. Step 6: Final answer
    x = 91,414.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.