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Finding the Third Proportional to 48,279.50 and 73,856

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Solution

The third proportional to 48,279.50 and 73,856 is: 112,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,279.50 : 73,856 = 73,856 : x
  2. Step 2: Convert to fraction form
    48,279.50/73,856 = 73,856/x
  3. Step 3: Cross multiply
    48,279.50x = 73,856 × 73,856
  4. Step 4: Simplify right side
    48,279.50x = 5,454,708,736
  5. Step 5: Solve for x
    x = 5,454,708,736/48,279.50
  6. Step 6: Final answer
    x = 112,981.88

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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.