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Finding the Third Proportional to 18,778.50 and 26,413.13

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Solution

The third proportional to 18,778.50 and 26,413.13 is: 37,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.50 : 26,413.13 = 26,413.13 : x
  2. Step 2: Convert to fraction form
    18,778.50/26,413.13 = 26,413.13/x
  3. Step 3: Cross multiply
    18,778.50x = 26,413.13 × 26,413.13
  4. Step 4: Simplify right side
    18,778.50x = 697,653,172.27
  5. Step 5: Solve for x
    x = 697,653,172.27/18,778.50
  6. Step 6: Final answer
    x = 37,151.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.