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Finding the Third Proportional to 11,957 and 25,281

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Solution

The third proportional to 11,957 and 25,281 is: 53,452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957 : 25,281 = 25,281 : x
  2. Step 2: Convert to fraction form
    11,957/25,281 = 25,281/x
  3. Step 3: Cross multiply
    11,957x = 25,281 × 25,281
  4. Step 4: Simplify right side
    11,957x = 639,128,961
  5. Step 5: Solve for x
    x = 639,128,961/11,957
  6. Step 6: Final answer
    x = 53,452.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.