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Finding the Third Proportional to 18,012.38 and 37,406.81

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Solution

The third proportional to 18,012.38 and 37,406.81 is: 77,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,012.38 : 37,406.81 = 37,406.81 : x
  2. Step 2: Convert to fraction form
    18,012.38/37,406.81 = 37,406.81/x
  3. Step 3: Cross multiply
    18,012.38x = 37,406.81 × 37,406.81
  4. Step 4: Simplify right side
    18,012.38x = 1,399,269,621.41
  5. Step 5: Solve for x
    x = 1,399,269,621.41/18,012.38
  6. Step 6: Final answer
    x = 77,683.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.