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Finding the Third Proportional to 26,413.44 and 40,882.38

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Solution

The third proportional to 26,413.44 and 40,882.38 is: 63,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,413.44 : 40,882.38 = 40,882.38 : x
  2. Step 2: Convert to fraction form
    26,413.44/40,882.38 = 40,882.38/x
  3. Step 3: Cross multiply
    26,413.44x = 40,882.38 × 40,882.38
  4. Step 4: Simplify right side
    26,413.44x = 1,671,368,745.34
  5. Step 5: Solve for x
    x = 1,671,368,745.34/26,413.44
  6. Step 6: Final answer
    x = 63,277.22

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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.