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Finding the Third Proportional to 35,671 and 82,599

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Solution

The third proportional to 35,671 and 82,599 is: 191,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,671 : 82,599 = 82,599 : x
  2. Step 2: Convert to fraction form
    35,671/82,599 = 82,599/x
  3. Step 3: Cross multiply
    35,671x = 82,599 × 82,599
  4. Step 4: Simplify right side
    35,671x = 6,822,594,801
  5. Step 5: Solve for x
    x = 6,822,594,801/35,671
  6. Step 6: Final answer
    x = 191,264.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.