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Finding the Third Proportional to 41,653.41 and 89,462.81

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Solution

The third proportional to 41,653.41 and 89,462.81 is: 192,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,653.41 : 89,462.81 = 89,462.81 : x
  2. Step 2: Convert to fraction form
    41,653.41/89,462.81 = 89,462.81/x
  3. Step 3: Cross multiply
    41,653.41x = 89,462.81 × 89,462.81
  4. Step 4: Simplify right side
    41,653.41x = 8,003,594,820.41
  5. Step 5: Solve for x
    x = 8,003,594,820.41/41,653.41
  6. Step 6: Final answer
    x = 192,147.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.