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Finding the Third Proportional to 12,371 and 25,957

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Solution

The third proportional to 12,371 and 25,957 is: 54,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371 : 25,957 = 25,957 : x
  2. Step 2: Convert to fraction form
    12,371/25,957 = 25,957/x
  3. Step 3: Cross multiply
    12,371x = 25,957 × 25,957
  4. Step 4: Simplify right side
    12,371x = 673,765,849
  5. Step 5: Solve for x
    x = 673,765,849/12,371
  6. Step 6: Final answer
    x = 54,463.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.