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Finding the Third Proportional to 16,291 and 25,815

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Solution

The third proportional to 16,291 and 25,815 is: 40,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291 : 25,815 = 25,815 : x
  2. Step 2: Convert to fraction form
    16,291/25,815 = 25,815/x
  3. Step 3: Cross multiply
    16,291x = 25,815 × 25,815
  4. Step 4: Simplify right side
    16,291x = 666,414,225
  5. Step 5: Solve for x
    x = 666,414,225/16,291
  6. Step 6: Final answer
    x = 40,906.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.