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Finding the Third Proportional to 49,484.50 and 76,450

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Solution

The third proportional to 49,484.50 and 76,450 is: 118,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,484.50 : 76,450 = 76,450 : x
  2. Step 2: Convert to fraction form
    49,484.50/76,450 = 76,450/x
  3. Step 3: Cross multiply
    49,484.50x = 76,450 × 76,450
  4. Step 4: Simplify right side
    49,484.50x = 5,844,602,500
  5. Step 5: Solve for x
    x = 5,844,602,500/49,484.50
  6. Step 6: Final answer
    x = 118,109.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.