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Finding the Third Proportional to 47,925.11 and 74,413.69

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Solution

The third proportional to 47,925.11 and 74,413.69 is: 115,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,925.11 : 74,413.69 = 74,413.69 : x
  2. Step 2: Convert to fraction form
    47,925.11/74,413.69 = 74,413.69/x
  3. Step 3: Cross multiply
    47,925.11x = 74,413.69 × 74,413.69
  4. Step 4: Simplify right side
    47,925.11x = 5,537,396,887.35
  5. Step 5: Solve for x
    x = 5,537,396,887.35/47,925.11
  6. Step 6: Final answer
    x = 115,542.72

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