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Finding the Third Proportional to 17,535.38 and 36,317.81

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Solution

The third proportional to 17,535.38 and 36,317.81 is: 75,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.38 : 36,317.81 = 36,317.81 : x
  2. Step 2: Convert to fraction form
    17,535.38/36,317.81 = 36,317.81/x
  3. Step 3: Cross multiply
    17,535.38x = 36,317.81 × 36,317.81
  4. Step 4: Simplify right side
    17,535.38x = 1,318,983,504.79
  5. Step 5: Solve for x
    x = 1,318,983,504.79/17,535.38
  6. Step 6: Final answer
    x = 75,218.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.