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Finding the Third Proportional to 25,651.69 and 55,438.17

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Solution

The third proportional to 25,651.69 and 55,438.17 is: 119,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651.69 : 55,438.17 = 55,438.17 : x
  2. Step 2: Convert to fraction form
    25,651.69/55,438.17 = 55,438.17/x
  3. Step 3: Cross multiply
    25,651.69x = 55,438.17 × 55,438.17
  4. Step 4: Simplify right side
    25,651.69x = 3,073,390,900.84
  5. Step 5: Solve for x
    x = 3,073,390,900.84/25,651.69
  6. Step 6: Final answer
    x = 119,812.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.