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Finding the Third Proportional to 12,165 and 25,241

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Solution

The third proportional to 12,165 and 25,241 is: 52,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165 : 25,241 = 25,241 : x
  2. Step 2: Convert to fraction form
    12,165/25,241 = 25,241/x
  3. Step 3: Cross multiply
    12,165x = 25,241 × 25,241
  4. Step 4: Simplify right side
    12,165x = 637,108,081
  5. Step 5: Solve for x
    x = 637,108,081/12,165
  6. Step 6: Final answer
    x = 52,372.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.