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Finding the Third Proportional to 48,257.75 and 73,821.75

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Solution

The third proportional to 48,257.75 and 73,821.75 is: 112,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,257.75 : 73,821.75 = 73,821.75 : x
  2. Step 2: Convert to fraction form
    48,257.75/73,821.75 = 73,821.75/x
  3. Step 3: Cross multiply
    48,257.75x = 73,821.75 × 73,821.75
  4. Step 4: Simplify right side
    48,257.75x = 5,449,650,773.06
  5. Step 5: Solve for x
    x = 5,449,650,773.06/48,257.75
  6. Step 6: Final answer
    x = 112,927.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.