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Finding the Third Proportional to 39,829 and 54,124

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Solution

The third proportional to 39,829 and 54,124 is: 73,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,829 : 54,124 = 54,124 : x
  2. Step 2: Convert to fraction form
    39,829/54,124 = 54,124/x
  3. Step 3: Cross multiply
    39,829x = 54,124 × 54,124
  4. Step 4: Simplify right side
    39,829x = 2,929,407,376
  5. Step 5: Solve for x
    x = 2,929,407,376/39,829
  6. Step 6: Final answer
    x = 73,549.61

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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.