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Finding the Third Proportional to 16,456 and 25,454

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Solution

The third proportional to 16,456 and 25,454 is: 39,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 25,454 = 25,454 : x
  2. Step 2: Convert to fraction form
    16,456/25,454 = 25,454/x
  3. Step 3: Cross multiply
    16,456x = 25,454 × 25,454
  4. Step 4: Simplify right side
    16,456x = 647,906,116
  5. Step 5: Solve for x
    x = 647,906,116/16,456
  6. Step 6: Final answer
    x = 39,372.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.