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Finding the Third Proportional to 14,512 and 23,268

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Solution

The third proportional to 14,512 and 23,268 is: 37,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512 : 23,268 = 23,268 : x
  2. Step 2: Convert to fraction form
    14,512/23,268 = 23,268/x
  3. Step 3: Cross multiply
    14,512x = 23,268 × 23,268
  4. Step 4: Simplify right side
    14,512x = 541,399,824
  5. Step 5: Solve for x
    x = 541,399,824/14,512
  6. Step 6: Final answer
    x = 37,307.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.