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Finding the Third Proportional to 18,942.19 and 29,413.13

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Solution

The third proportional to 18,942.19 and 29,413.13 is: 45,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942.19 : 29,413.13 = 29,413.13 : x
  2. Step 2: Convert to fraction form
    18,942.19/29,413.13 = 29,413.13/x
  3. Step 3: Cross multiply
    18,942.19x = 29,413.13 × 29,413.13
  4. Step 4: Simplify right side
    18,942.19x = 865,131,922.27
  5. Step 5: Solve for x
    x = 865,131,922.27/18,942.19
  6. Step 6: Final answer
    x = 45,672.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.