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Finding the Third Proportional to 29,341 and 39,865

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Solution

The third proportional to 29,341 and 39,865 is: 54,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,341 : 39,865 = 39,865 : x
  2. Step 2: Convert to fraction form
    29,341/39,865 = 39,865/x
  3. Step 3: Cross multiply
    29,341x = 39,865 × 39,865
  4. Step 4: Simplify right side
    29,341x = 1,589,218,225
  5. Step 5: Solve for x
    x = 1,589,218,225/29,341
  6. Step 6: Final answer
    x = 54,163.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.