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Finding the Third Proportional to 13,772.25 and 30,003.75

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Solution

The third proportional to 13,772.25 and 30,003.75 is: 65,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.25 : 30,003.75 = 30,003.75 : x
  2. Step 2: Convert to fraction form
    13,772.25/30,003.75 = 30,003.75/x
  3. Step 3: Cross multiply
    13,772.25x = 30,003.75 × 30,003.75
  4. Step 4: Simplify right side
    13,772.25x = 900,225,014.06
  5. Step 5: Solve for x
    x = 900,225,014.06/13,772.25
  6. Step 6: Final answer
    x = 65,365.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.