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Finding the Third Proportional to 13,895.25 and 30,438.75

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Solution

The third proportional to 13,895.25 and 30,438.75 is: 66,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,895.25 : 30,438.75 = 30,438.75 : x
  2. Step 2: Convert to fraction form
    13,895.25/30,438.75 = 30,438.75/x
  3. Step 3: Cross multiply
    13,895.25x = 30,438.75 × 30,438.75
  4. Step 4: Simplify right side
    13,895.25x = 926,517,501.56
  5. Step 5: Solve for x
    x = 926,517,501.56/13,895.25
  6. Step 6: Final answer
    x = 66,678.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.