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Finding the Third Proportional to 48,822.75 and 73,758.09

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Solution

The third proportional to 48,822.75 and 73,758.09 is: 111,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,822.75 : 73,758.09 = 73,758.09 : x
  2. Step 2: Convert to fraction form
    48,822.75/73,758.09 = 73,758.09/x
  3. Step 3: Cross multiply
    48,822.75x = 73,758.09 × 73,758.09
  4. Step 4: Simplify right side
    48,822.75x = 5,440,256,393.63
  5. Step 5: Solve for x
    x = 5,440,256,393.63/48,822.75
  6. Step 6: Final answer
    x = 111,428.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.