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Finding the Third Proportional to 17,658 and 40,257

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Solution

The third proportional to 17,658 and 40,257 is: 91,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 40,257 = 40,257 : x
  2. Step 2: Convert to fraction form
    17,658/40,257 = 40,257/x
  3. Step 3: Cross multiply
    17,658x = 40,257 × 40,257
  4. Step 4: Simplify right side
    17,658x = 1,620,626,049
  5. Step 5: Solve for x
    x = 1,620,626,049/17,658
  6. Step 6: Final answer
    x = 91,778.57

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.