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Finding the Third Proportional to 24,631.25 and 36,896.25

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Solution

The third proportional to 24,631.25 and 36,896.25 is: 55,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,631.25 : 36,896.25 = 36,896.25 : x
  2. Step 2: Convert to fraction form
    24,631.25/36,896.25 = 36,896.25/x
  3. Step 3: Cross multiply
    24,631.25x = 36,896.25 × 36,896.25
  4. Step 4: Simplify right side
    24,631.25x = 1,361,333,264.06
  5. Step 5: Solve for x
    x = 1,361,333,264.06/24,631.25
  6. Step 6: Final answer
    x = 55,268.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.