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Finding the Third Proportional to 36,313.50 and 85,859.81

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Solution

The third proportional to 36,313.50 and 85,859.81 is: 203,007.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,313.50 : 85,859.81 = 85,859.81 : x
  2. Step 2: Convert to fraction form
    36,313.50/85,859.81 = 85,859.81/x
  3. Step 3: Cross multiply
    36,313.50x = 85,859.81 × 85,859.81
  4. Step 4: Simplify right side
    36,313.50x = 7,371,907,402.54
  5. Step 5: Solve for x
    x = 7,371,907,402.54/36,313.50
  6. Step 6: Final answer
    x = 203,007.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.