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Finding the Third Proportional to 41,512 and 59,309

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Solution

The third proportional to 41,512 and 59,309 is: 84,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,512 : 59,309 = 59,309 : x
  2. Step 2: Convert to fraction form
    41,512/59,309 = 59,309/x
  3. Step 3: Cross multiply
    41,512x = 59,309 × 59,309
  4. Step 4: Simplify right side
    41,512x = 3,517,557,481
  5. Step 5: Solve for x
    x = 3,517,557,481/41,512
  6. Step 6: Final answer
    x = 84,735.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.