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Finding the Third Proportional to 18,529.70 and 40,413.58

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Solution

The third proportional to 18,529.70 and 40,413.58 is: 88,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,529.70 : 40,413.58 = 40,413.58 : x
  2. Step 2: Convert to fraction form
    18,529.70/40,413.58 = 40,413.58/x
  3. Step 3: Cross multiply
    18,529.70x = 40,413.58 × 40,413.58
  4. Step 4: Simplify right side
    18,529.70x = 1,633,257,573.13
  5. Step 5: Solve for x
    x = 1,633,257,573.13/18,529.70
  6. Step 6: Final answer
    x = 88,142.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.