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Finding the Third Proportional to 16,477 and 25,504

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Solution

The third proportional to 16,477 and 25,504 is: 39,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477 : 25,504 = 25,504 : x
  2. Step 2: Convert to fraction form
    16,477/25,504 = 25,504/x
  3. Step 3: Cross multiply
    16,477x = 25,504 × 25,504
  4. Step 4: Simplify right side
    16,477x = 650,454,016
  5. Step 5: Solve for x
    x = 650,454,016/16,477
  6. Step 6: Final answer
    x = 39,476.48

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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.