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Finding the Third Proportional to 40,796 and 86,452

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Solution

The third proportional to 40,796 and 86,452 is: 183,202.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,796 : 86,452 = 86,452 : x
  2. Step 2: Convert to fraction form
    40,796/86,452 = 86,452/x
  3. Step 3: Cross multiply
    40,796x = 86,452 × 86,452
  4. Step 4: Simplify right side
    40,796x = 7,473,948,304
  5. Step 5: Solve for x
    x = 7,473,948,304/40,796
  6. Step 6: Final answer
    x = 183,202.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.