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Finding the Third Proportional to 23,512 and 25,972

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Solution

The third proportional to 23,512 and 25,972 is: 28,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512 : 25,972 = 25,972 : x
  2. Step 2: Convert to fraction form
    23,512/25,972 = 25,972/x
  3. Step 3: Cross multiply
    23,512x = 25,972 × 25,972
  4. Step 4: Simplify right side
    23,512x = 674,544,784
  5. Step 5: Solve for x
    x = 674,544,784/23,512
  6. Step 6: Final answer
    x = 28,689.38

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.