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Finding the Third Proportional to 16,845 and 25,502

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Solution

The third proportional to 16,845 and 25,502 is: 38,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,845 : 25,502 = 25,502 : x
  2. Step 2: Convert to fraction form
    16,845/25,502 = 25,502/x
  3. Step 3: Cross multiply
    16,845x = 25,502 × 25,502
  4. Step 4: Simplify right side
    16,845x = 650,352,004
  5. Step 5: Solve for x
    x = 650,352,004/16,845
  6. Step 6: Final answer
    x = 38,608.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.