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Finding the Third Proportional to 49,236.75 and 76,384

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Solution

The third proportional to 49,236.75 and 76,384 is: 118,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,236.75 : 76,384 = 76,384 : x
  2. Step 2: Convert to fraction form
    49,236.75/76,384 = 76,384/x
  3. Step 3: Cross multiply
    49,236.75x = 76,384 × 76,384
  4. Step 4: Simplify right side
    49,236.75x = 5,834,515,456
  5. Step 5: Solve for x
    x = 5,834,515,456/49,236.75
  6. Step 6: Final answer
    x = 118,499.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.