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Finding the Third Proportional to 30,683.81 and 41,651.72

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Solution

The third proportional to 30,683.81 and 41,651.72 is: 56,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.81 : 41,651.72 = 41,651.72 : x
  2. Step 2: Convert to fraction form
    30,683.81/41,651.72 = 41,651.72/x
  3. Step 3: Cross multiply
    30,683.81x = 41,651.72 × 41,651.72
  4. Step 4: Simplify right side
    30,683.81x = 1,734,865,674.83
  5. Step 5: Solve for x
    x = 1,734,865,674.83/30,683.81
  6. Step 6: Final answer
    x = 56,540.10

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.