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Finding the Third Proportional to 17,956 and 25,242

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Solution

The third proportional to 17,956 and 25,242 is: 35,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,956 : 25,242 = 25,242 : x
  2. Step 2: Convert to fraction form
    17,956/25,242 = 25,242/x
  3. Step 3: Cross multiply
    17,956x = 25,242 × 25,242
  4. Step 4: Simplify right side
    17,956x = 637,158,564
  5. Step 5: Solve for x
    x = 637,158,564/17,956
  6. Step 6: Final answer
    x = 35,484.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.