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Finding the Third Proportional to 23,105.25 and 34,824.94

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Solution

The third proportional to 23,105.25 and 34,824.94 is: 52,489.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.25 : 34,824.94 = 34,824.94 : x
  2. Step 2: Convert to fraction form
    23,105.25/34,824.94 = 34,824.94/x
  3. Step 3: Cross multiply
    23,105.25x = 34,824.94 × 34,824.94
  4. Step 4: Simplify right side
    23,105.25x = 1,212,776,271.88
  5. Step 5: Solve for x
    x = 1,212,776,271.88/23,105.25
  6. Step 6: Final answer
    x = 52,489.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.