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Finding the Third Proportional to 36,945.81 and 57,324.66

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Solution

The third proportional to 36,945.81 and 57,324.66 is: 88,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,945.81 : 57,324.66 = 57,324.66 : x
  2. Step 2: Convert to fraction form
    36,945.81/57,324.66 = 57,324.66/x
  3. Step 3: Cross multiply
    36,945.81x = 57,324.66 × 57,324.66
  4. Step 4: Simplify right side
    36,945.81x = 3,286,116,214.18
  5. Step 5: Solve for x
    x = 3,286,116,214.18/36,945.81
  6. Step 6: Final answer
    x = 88,944.21

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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.