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Finding the Third Proportional to 37,843.25 and 58,596.25

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Solution

The third proportional to 37,843.25 and 58,596.25 is: 90,730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,843.25 : 58,596.25 = 58,596.25 : x
  2. Step 2: Convert to fraction form
    37,843.25/58,596.25 = 58,596.25/x
  3. Step 3: Cross multiply
    37,843.25x = 58,596.25 × 58,596.25
  4. Step 4: Simplify right side
    37,843.25x = 3,433,520,514.06
  5. Step 5: Solve for x
    x = 3,433,520,514.06/37,843.25
  6. Step 6: Final answer
    x = 90,730.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.