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Finding the Third Proportional to 32,322.25 and 68,557.25

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Solution

The third proportional to 32,322.25 and 68,557.25 is: 145,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.25 : 68,557.25 = 68,557.25 : x
  2. Step 2: Convert to fraction form
    32,322.25/68,557.25 = 68,557.25/x
  3. Step 3: Cross multiply
    32,322.25x = 68,557.25 × 68,557.25
  4. Step 4: Simplify right side
    32,322.25x = 4,700,096,527.56
  5. Step 5: Solve for x
    x = 4,700,096,527.56/32,322.25
  6. Step 6: Final answer
    x = 145,413.66

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.