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Finding the Third Proportional to 26,448.75 and 34,960.50

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Solution

The third proportional to 26,448.75 and 34,960.50 is: 46,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448.75 : 34,960.50 = 34,960.50 : x
  2. Step 2: Convert to fraction form
    26,448.75/34,960.50 = 34,960.50/x
  3. Step 3: Cross multiply
    26,448.75x = 34,960.50 × 34,960.50
  4. Step 4: Simplify right side
    26,448.75x = 1,222,236,560.25
  5. Step 5: Solve for x
    x = 1,222,236,560.25/26,448.75
  6. Step 6: Final answer
    x = 46,211.51

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.