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Finding the Third Proportional to 38,540.25 and 84,065.63

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Solution

The third proportional to 38,540.25 and 84,065.63 is: 183,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.25 : 84,065.63 = 84,065.63 : x
  2. Step 2: Convert to fraction form
    38,540.25/84,065.63 = 84,065.63/x
  3. Step 3: Cross multiply
    38,540.25x = 84,065.63 × 84,065.63
  4. Step 4: Simplify right side
    38,540.25x = 7,067,029,306.64
  5. Step 5: Solve for x
    x = 7,067,029,306.64/38,540.25
  6. Step 6: Final answer
    x = 183,367.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.