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Finding the Third Proportional to 19,413.38 and 42,000.38

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Solution

The third proportional to 19,413.38 and 42,000.38 is: 90,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,413.38 : 42,000.38 = 42,000.38 : x
  2. Step 2: Convert to fraction form
    19,413.38/42,000.38 = 42,000.38/x
  3. Step 3: Cross multiply
    19,413.38x = 42,000.38 × 42,000.38
  4. Step 4: Simplify right side
    19,413.38x = 1,764,031,500.14
  5. Step 5: Solve for x
    x = 1,764,031,500.14/19,413.38
  6. Step 6: Final answer
    x = 90,866.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.