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Finding the Third Proportional to 17,531 and 40,262

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Solution

The third proportional to 17,531 and 40,262 is: 92,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531 : 40,262 = 40,262 : x
  2. Step 2: Convert to fraction form
    17,531/40,262 = 40,262/x
  3. Step 3: Cross multiply
    17,531x = 40,262 × 40,262
  4. Step 4: Simplify right side
    17,531x = 1,621,028,644
  5. Step 5: Solve for x
    x = 1,621,028,644/17,531
  6. Step 6: Final answer
    x = 92,466.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.