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Finding the Third Proportional to 22,840.73 and 48,180.45

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Solution

The third proportional to 22,840.73 and 48,180.45 is: 101,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.73 : 48,180.45 = 48,180.45 : x
  2. Step 2: Convert to fraction form
    22,840.73/48,180.45 = 48,180.45/x
  3. Step 3: Cross multiply
    22,840.73x = 48,180.45 × 48,180.45
  4. Step 4: Simplify right side
    22,840.73x = 2,321,355,310.51
  5. Step 5: Solve for x
    x = 2,321,355,310.51/22,840.73
  6. Step 6: Final answer
    x = 101,632.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.