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Finding the Third Proportional to 30,991.50 and 36,499.50

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Solution

The third proportional to 30,991.50 and 36,499.50 is: 42,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.50 : 36,499.50 = 36,499.50 : x
  2. Step 2: Convert to fraction form
    30,991.50/36,499.50 = 36,499.50/x
  3. Step 3: Cross multiply
    30,991.50x = 36,499.50 × 36,499.50
  4. Step 4: Simplify right side
    30,991.50x = 1,332,213,500.25
  5. Step 5: Solve for x
    x = 1,332,213,500.25/30,991.50
  6. Step 6: Final answer
    x = 42,986.42

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.