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Finding the Third Proportional to 32,413.50 and 47,379

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Solution

The third proportional to 32,413.50 and 47,379 is: 69,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.50 : 47,379 = 47,379 : x
  2. Step 2: Convert to fraction form
    32,413.50/47,379 = 47,379/x
  3. Step 3: Cross multiply
    32,413.50x = 47,379 × 47,379
  4. Step 4: Simplify right side
    32,413.50x = 2,244,769,641
  5. Step 5: Solve for x
    x = 2,244,769,641/32,413.50
  6. Step 6: Final answer
    x = 69,254.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.