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Finding the Third Proportional to 48,642.75 and 73,960.88

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Solution

The third proportional to 48,642.75 and 73,960.88 is: 112,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.75 : 73,960.88 = 73,960.88 : x
  2. Step 2: Convert to fraction form
    48,642.75/73,960.88 = 73,960.88/x
  3. Step 3: Cross multiply
    48,642.75x = 73,960.88 × 73,960.88
  4. Step 4: Simplify right side
    48,642.75x = 5,470,211,030.77
  5. Step 5: Solve for x
    x = 5,470,211,030.77/48,642.75
  6. Step 6: Final answer
    x = 112,456.86

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.