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Finding the Third Proportional to 23,276 and 35,458

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Solution

The third proportional to 23,276 and 35,458 is: 54,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,276 : 35,458 = 35,458 : x
  2. Step 2: Convert to fraction form
    23,276/35,458 = 35,458/x
  3. Step 3: Cross multiply
    23,276x = 35,458 × 35,458
  4. Step 4: Simplify right side
    23,276x = 1,257,269,764
  5. Step 5: Solve for x
    x = 1,257,269,764/23,276
  6. Step 6: Final answer
    x = 54,015.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.