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Finding the Third Proportional to 29,904.75 and 46,269.56

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Solution

The third proportional to 29,904.75 and 46,269.56 is: 71,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904.75 : 46,269.56 = 46,269.56 : x
  2. Step 2: Convert to fraction form
    29,904.75/46,269.56 = 46,269.56/x
  3. Step 3: Cross multiply
    29,904.75x = 46,269.56 × 46,269.56
  4. Step 4: Simplify right side
    29,904.75x = 2,140,872,413.94
  5. Step 5: Solve for x
    x = 2,140,872,413.94/29,904.75
  6. Step 6: Final answer
    x = 71,589.71

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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.