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Finding the Third Proportional to 37,589.54 and 49,686.62

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Solution

The third proportional to 37,589.54 and 49,686.62 is: 65,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,589.54 : 49,686.62 = 49,686.62 : x
  2. Step 2: Convert to fraction form
    37,589.54/49,686.62 = 49,686.62/x
  3. Step 3: Cross multiply
    37,589.54x = 49,686.62 × 49,686.62
  4. Step 4: Simplify right side
    37,589.54x = 2,468,760,024.58
  5. Step 5: Solve for x
    x = 2,468,760,024.58/37,589.54
  6. Step 6: Final answer
    x = 65,676.79

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.