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Finding the Third Proportional to 23,256 and 34,916

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Solution

The third proportional to 23,256 and 34,916 is: 52,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256 : 34,916 = 34,916 : x
  2. Step 2: Convert to fraction form
    23,256/34,916 = 34,916/x
  3. Step 3: Cross multiply
    23,256x = 34,916 × 34,916
  4. Step 4: Simplify right side
    23,256x = 1,219,127,056
  5. Step 5: Solve for x
    x = 1,219,127,056/23,256
  6. Step 6: Final answer
    x = 52,422.04

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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.