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Finding the Third Proportional to 23,351.73 and 48,365.07

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Solution

The third proportional to 23,351.73 and 48,365.07 is: 100,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,351.73 : 48,365.07 = 48,365.07 : x
  2. Step 2: Convert to fraction form
    23,351.73/48,365.07 = 48,365.07/x
  3. Step 3: Cross multiply
    23,351.73x = 48,365.07 × 48,365.07
  4. Step 4: Simplify right side
    23,351.73x = 2,339,179,837.41
  5. Step 5: Solve for x
    x = 2,339,179,837.41/23,351.73
  6. Step 6: Final answer
    x = 100,171.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.