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Finding the Third Proportional to 24,659.25 and 34,891.50

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Solution

The third proportional to 24,659.25 and 34,891.50 is: 49,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659.25 : 34,891.50 = 34,891.50 : x
  2. Step 2: Convert to fraction form
    24,659.25/34,891.50 = 34,891.50/x
  3. Step 3: Cross multiply
    24,659.25x = 34,891.50 × 34,891.50
  4. Step 4: Simplify right side
    24,659.25x = 1,217,416,772.25
  5. Step 5: Solve for x
    x = 1,217,416,772.25/24,659.25
  6. Step 6: Final answer
    x = 49,369.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.