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Finding the Third Proportional to 25,651 and 54,951.50

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Solution

The third proportional to 25,651 and 54,951.50 is: 117,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,651 : 54,951.50 = 54,951.50 : x
  2. Step 2: Convert to fraction form
    25,651/54,951.50 = 54,951.50/x
  3. Step 3: Cross multiply
    25,651x = 54,951.50 × 54,951.50
  4. Step 4: Simplify right side
    25,651x = 3,019,667,352.25
  5. Step 5: Solve for x
    x = 3,019,667,352.25/25,651
  6. Step 6: Final answer
    x = 117,721.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.