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Finding the Third Proportional to 41,517 and 58,257

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Solution

The third proportional to 41,517 and 58,257 is: 81,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,517 : 58,257 = 58,257 : x
  2. Step 2: Convert to fraction form
    41,517/58,257 = 58,257/x
  3. Step 3: Cross multiply
    41,517x = 58,257 × 58,257
  4. Step 4: Simplify right side
    41,517x = 3,393,878,049
  5. Step 5: Solve for x
    x = 3,393,878,049/41,517
  6. Step 6: Final answer
    x = 81,746.71

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.