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Finding the Third Proportional to 32,413.25 and 67,076.50

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Solution

The third proportional to 32,413.25 and 67,076.50 is: 138,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.25 : 67,076.50 = 67,076.50 : x
  2. Step 2: Convert to fraction form
    32,413.25/67,076.50 = 67,076.50/x
  3. Step 3: Cross multiply
    32,413.25x = 67,076.50 × 67,076.50
  4. Step 4: Simplify right side
    32,413.25x = 4,499,256,852.25
  5. Step 5: Solve for x
    x = 4,499,256,852.25/32,413.25
  6. Step 6: Final answer
    x = 138,809.19

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.