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Finding the Third Proportional to 29,236 and 42,761

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Solution

The third proportional to 29,236 and 42,761 is: 62,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,236 : 42,761 = 42,761 : x
  2. Step 2: Convert to fraction form
    29,236/42,761 = 42,761/x
  3. Step 3: Cross multiply
    29,236x = 42,761 × 42,761
  4. Step 4: Simplify right side
    29,236x = 1,828,503,121
  5. Step 5: Solve for x
    x = 1,828,503,121/29,236
  6. Step 6: Final answer
    x = 62,542.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.