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Finding the Third Proportional to 39,680 and 83,252

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Solution

The third proportional to 39,680 and 83,252 is: 174,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,680 : 83,252 = 83,252 : x
  2. Step 2: Convert to fraction form
    39,680/83,252 = 83,252/x
  3. Step 3: Cross multiply
    39,680x = 83,252 × 83,252
  4. Step 4: Simplify right side
    39,680x = 6,930,895,504
  5. Step 5: Solve for x
    x = 6,930,895,504/39,680
  6. Step 6: Final answer
    x = 174,669.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.