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Finding the Third Proportional to 38,623 and 84,629

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Solution

The third proportional to 38,623 and 84,629 is: 185,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,623 : 84,629 = 84,629 : x
  2. Step 2: Convert to fraction form
    38,623/84,629 = 84,629/x
  3. Step 3: Cross multiply
    38,623x = 84,629 × 84,629
  4. Step 4: Simplify right side
    38,623x = 7,162,067,641
  5. Step 5: Solve for x
    x = 7,162,067,641/38,623
  6. Step 6: Final answer
    x = 185,435.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.