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Finding the Third Proportional to 15,016 and 23,912

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Solution

The third proportional to 15,016 and 23,912 is: 38,078.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,016 : 23,912 = 23,912 : x
  2. Step 2: Convert to fraction form
    15,016/23,912 = 23,912/x
  3. Step 3: Cross multiply
    15,016x = 23,912 × 23,912
  4. Step 4: Simplify right side
    15,016x = 571,783,744
  5. Step 5: Solve for x
    x = 571,783,744/15,016
  6. Step 6: Final answer
    x = 38,078.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.