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Finding the Third Proportional to 12,371 and 25,175

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Solution

The third proportional to 12,371 and 25,175 is: 51,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371 : 25,175 = 25,175 : x
  2. Step 2: Convert to fraction form
    12,371/25,175 = 25,175/x
  3. Step 3: Cross multiply
    12,371x = 25,175 × 25,175
  4. Step 4: Simplify right side
    12,371x = 633,780,625
  5. Step 5: Solve for x
    x = 633,780,625/12,371
  6. Step 6: Final answer
    x = 51,231.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.