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Finding the Third Proportional to 16,431 and 26,697

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Solution

The third proportional to 16,431 and 26,697 is: 43,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431 : 26,697 = 26,697 : x
  2. Step 2: Convert to fraction form
    16,431/26,697 = 26,697/x
  3. Step 3: Cross multiply
    16,431x = 26,697 × 26,697
  4. Step 4: Simplify right side
    16,431x = 712,729,809
  5. Step 5: Solve for x
    x = 712,729,809/16,431
  6. Step 6: Final answer
    x = 43,377.14

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.