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Finding the Third Proportional to 25,724.25 and 61,963.50

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Solution

The third proportional to 25,724.25 and 61,963.50 is: 149,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,724.25 : 61,963.50 = 61,963.50 : x
  2. Step 2: Convert to fraction form
    25,724.25/61,963.50 = 61,963.50/x
  3. Step 3: Cross multiply
    25,724.25x = 61,963.50 × 61,963.50
  4. Step 4: Simplify right side
    25,724.25x = 3,839,475,332.25
  5. Step 5: Solve for x
    x = 3,839,475,332.25/25,724.25
  6. Step 6: Final answer
    x = 149,255.09

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.